Question

solve for r in the propo
\\(\frac{r}{800} = \frac{234}{288}\\)
\\(r = \square\\)
submit

Explanation:

Step1: Cross - multiply to solve for \( r \)

Given the proportion \(\frac{r}{800}=\frac{234}{288}\), we can cross - multiply. Cross - multiplying means that \( r\times288 = 800\times234\).

Step2: Calculate the right - hand side

First, calculate \( 800\times234\). \( 800\times234=187200\). So we have the equation \( 288r = 187200\).

Step3: Solve for \( r \)

To solve for \( r \), we divide both sides of the equation \( 288r = 187200\) by 288. So \( r=\frac{187200}{288}\).
Simplify \(\frac{187200}{288}\):
We can divide numerator and denominator by 48 first: \( 187200\div48 = 3900\), \( 288\div48 = 6\). Then \(\frac{3900}{6}=650\).

Answer:

\( r = 650\)