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Finding the Fourth Proportional to 872.20, 1,306.50 and 542.44

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Solution

The fourth proportional to 872.20, 1,306.50 and 542.44 is: 812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.20 : 1,306.50 = 542.44 : x
  2. Step 2: Convert to fraction form
    872.20/1,306.50 = 542.44/x
  3. Step 3: Cross multiply
    872.20x = 1,306.50 × 542.44
  4. Step 4: Simplify right side
    872.20x = 708,697.86
  5. Step 5: Solve for x
    x = 708,697.86/872.20
  6. Step 6: Final answer
    x = 812.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.