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Finding the Fourth Proportional to 697.60, 963.45 and 542.11

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Solution

The fourth proportional to 697.60, 963.45 and 542.11 is: 748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.60 : 963.45 = 542.11 : x
  2. Step 2: Convert to fraction form
    697.60/963.45 = 542.11/x
  3. Step 3: Cross multiply
    697.60x = 963.45 × 542.11
  4. Step 4: Simplify right side
    697.60x = 522,295.88
  5. Step 5: Solve for x
    x = 522,295.88/697.60
  6. Step 6: Final answer
    x = 748.70

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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.