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Finding the Fourth Proportional to 961.61, 1,327.14 and 542.12

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Solution

The fourth proportional to 961.61, 1,327.14 and 542.12 is: 748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.61 : 1,327.14 = 542.12 : x
  2. Step 2: Convert to fraction form
    961.61/1,327.14 = 542.12/x
  3. Step 3: Cross multiply
    961.61x = 1,327.14 × 542.12
  4. Step 4: Simplify right side
    961.61x = 719,469.14
  5. Step 5: Solve for x
    x = 719,469.14/961.61
  6. Step 6: Final answer
    x = 748.19

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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.