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Finding the Fourth Proportional to 951.48, 1,427.31 and 457.74

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Solution

The fourth proportional to 951.48, 1,427.31 and 457.74 is: 686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.48 : 1,427.31 = 457.74 : x
  2. Step 2: Convert to fraction form
    951.48/1,427.31 = 457.74/x
  3. Step 3: Cross multiply
    951.48x = 1,427.31 × 457.74
  4. Step 4: Simplify right side
    951.48x = 653,336.88
  5. Step 5: Solve for x
    x = 653,336.88/951.48
  6. Step 6: Final answer
    x = 686.65

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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.