Após os cálculos encontramos os valore inversamente proporcionais:

[tex]\large \text {$\Rightarrow ~ 1080 ~inversamente ~ proporcional ~a~ 2 = 720$}\\\\\\\large \text {$\Rightarrow ~ 1080 ~inversamente ~ proporcional ~a ~5 = 288$}\\\\\\\large \text {$\Rightarrow ~ 1080 ~inversamente ~ proporcional ~a~ 20 = 72$}\\\\\\[/tex]

  [tex]\large \text {$Coeficiente~ de~ proporcionalidade ~inversamente~ proporcionais $}[/tex]

Encontrar o coeficiente de proporcionalidade:

[tex]\large \text {$c = \dfrac{1080}{\dfrac{1}{2} +\dfrac{1}{5} +\dfrac{1}{20} }$}\\\\\\\large \text {$c = \dfrac{1080}{\dfrac{3}{4} }$}\\\\\\\large \text {$c = 1080 ~. ~\dfrac{4}{3} $}\\\\\\\large \text {$c =\dfrac{ 1080 ~. ~4}{3} $}\\\\\\\large \text {$c =\dfrac{ 1080 ~. ~4}{3} $}\\\\\\\large \text {$c =\dfrac{ 4320}{3} $}\\\\\\\large \text {$c = 1440 $}\\\\\\[/tex]

Com o valor do coeficiente de proporcionalidade,  encontrar os valores para as proporções dadas, 2, 5 e 20.

[tex]\large \text {$x = 1440 ~. ~\dfrac{1}{2}$}\\\\\\\large \text {$x = \dfrac{1440 }{2}$}\\\\\\\large \text {$x = 720$}[/tex]

[tex]\large \text {$y = 1440 ~. ~\dfrac{1}{5}$}\\\\\\\large \text {$y = \dfrac{1440 }{5}$}\\\\\\\large \text {$y = 288$}[/tex]

[tex]\large \text {$y = 1440 ~. ~\dfrac{1}{20}$}\\\\\\\large \text {$y = \dfrac{1440 }{20}$}\\\\\\\large \text {$y = 72$}[/tex]

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