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Finding the Fourth Proportional to 961.78, 1,327.16 and 542.20

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Solution

The fourth proportional to 961.78, 1,327.16 and 542.20 is: 748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.78 : 1,327.16 = 542.20 : x
  2. Step 2: Convert to fraction form
    961.78/1,327.16 = 542.20/x
  3. Step 3: Cross multiply
    961.78x = 1,327.16 × 542.20
  4. Step 4: Simplify right side
    961.78x = 719,586.15
  5. Step 5: Solve for x
    x = 719,586.15/961.78
  6. Step 6: Final answer
    x = 748.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.