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Finding the Fourth Proportional to 1,432.67, 2,149.22 and 458.53

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Solution

The fourth proportional to 1,432.67, 2,149.22 and 458.53 is: 687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.67 : 2,149.22 = 458.53 : x
  2. Step 2: Convert to fraction form
    1,432.67/2,149.22 = 458.53/x
  3. Step 3: Cross multiply
    1,432.67x = 2,149.22 × 458.53
  4. Step 4: Simplify right side
    1,432.67x = 985,477.62
  5. Step 5: Solve for x
    x = 985,477.62/1,432.67
  6. Step 6: Final answer
    x = 687.86

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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.