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Finding the Fourth Proportional to 836.60, 1,154.10 and 542.12

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Solution

The fourth proportional to 836.60, 1,154.10 and 542.12 is: 747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.60 : 1,154.10 = 542.12 : x
  2. Step 2: Convert to fraction form
    836.60/1,154.10 = 542.12/x
  3. Step 3: Cross multiply
    836.60x = 1,154.10 × 542.12
  4. Step 4: Simplify right side
    836.60x = 625,660.69
  5. Step 5: Solve for x
    x = 625,660.69/836.60
  6. Step 6: Final answer
    x = 747.86

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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.