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Finding the Fourth Proportional to 1,432.85, 2,149.02 and 458.73

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Solution

The fourth proportional to 1,432.85, 2,149.02 and 458.73 is: 688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.85 : 2,149.02 = 458.73 : x
  2. Step 2: Convert to fraction form
    1,432.85/2,149.02 = 458.73/x
  3. Step 3: Cross multiply
    1,432.85x = 2,149.02 × 458.73
  4. Step 4: Simplify right side
    1,432.85x = 985,819.94
  5. Step 5: Solve for x
    x = 985,819.94/1,432.85
  6. Step 6: Final answer
    x = 688.02

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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.