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Finding the Fourth Proportional to 732.91, 1,011.66 and 524.14

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Solution

The fourth proportional to 732.91, 1,011.66 and 524.14 is: 723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.91 : 1,011.66 = 524.14 : x
  2. Step 2: Convert to fraction form
    732.91/1,011.66 = 524.14/x
  3. Step 3: Cross multiply
    732.91x = 1,011.66 × 524.14
  4. Step 4: Simplify right side
    732.91x = 530,251.47
  5. Step 5: Solve for x
    x = 530,251.47/732.91
  6. Step 6: Final answer
    x = 723.49

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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.