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Finding the Fourth Proportional to 689.60, 950.76 and 542

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Solution

The fourth proportional to 689.60, 950.76 and 542 is: 747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.60 : 950.76 = 542 : x
  2. Step 2: Convert to fraction form
    689.60/950.76 = 542/x
  3. Step 3: Cross multiply
    689.60x = 950.76 × 542
  4. Step 4: Simplify right side
    689.60x = 515,311.92
  5. Step 5: Solve for x
    x = 515,311.92/689.60
  6. Step 6: Final answer
    x = 747.26

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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.