Question

Solve each proportion. If necessary, round to nearest hundredth.

$\frac{t}{0.3}=\frac{1.7}{0.9}$

Short answer

The value of $t=0.57$.

Step-by-step solution

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Find the cross products.

The given ratios can be simplified by doing cross product:

$$\begin{gathered} \frac{t}{0.3}=\frac{1.7}{0.9} \\ 0.9\left(t\right)=\left(1.7\right)0.3 \end{gathered}$$

Step-3. Simplify for t.

To further simplify, divide each side by 0.9.

$$\begin{gathered} 0.9\left(t\right)=\left(1.7\right)0.3 \\ 0.9t=\text{0.51} \\ \frac{0.9t}{0.9}=\frac{\text{0.51}}{0.9} \\ t=0.57 \end{gathered}$$

Therefore, the value of $t=0.57$.