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Finding the Fourth Proportional to 1,432.78, 2,149.23 and 458.80

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Solution

The fourth proportional to 1,432.78, 2,149.23 and 458.80 is: 688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.78 : 2,149.23 = 458.80 : x
  2. Step 2: Convert to fraction form
    1,432.78/2,149.23 = 458.80/x
  3. Step 3: Cross multiply
    1,432.78x = 2,149.23 × 458.80
  4. Step 4: Simplify right side
    1,432.78x = 986,066.72
  5. Step 5: Solve for x
    x = 986,066.72/1,432.78
  6. Step 6: Final answer
    x = 688.22

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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.