Finding the Fourth Proportional to 842.96, 1,163.34 and 470
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Solution
The fourth proportional to 842.96, 1,163.34 and 470 is: 648.63
Step by Step Solution
- Step 1: Write the proportion equation
842.96 : 1,163.34 = 470 : x - Step 2: Convert to fraction form
842.96/1,163.34 = 470/x - Step 3: Cross multiply
842.96x = 1,163.34 × 470 - Step 4: Simplify right side
842.96x = 546,769.80 - Step 5: Solve for x
x = 546,769.80/842.96 - Step 6: Final answer
x = 648.63
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.