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Finding the Fourth Proportional to 716.29, 1,072.61 and 472.08

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Solution

The fourth proportional to 716.29, 1,072.61 and 472.08 is: 706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.29 : 1,072.61 = 472.08 : x
  2. Step 2: Convert to fraction form
    716.29/1,072.61 = 472.08/x
  3. Step 3: Cross multiply
    716.29x = 1,072.61 × 472.08
  4. Step 4: Simplify right side
    716.29x = 506,354.22
  5. Step 5: Solve for x
    x = 506,354.22/716.29
  6. Step 6: Final answer
    x = 706.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.