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Finding the Fourth Proportional to 997.50, 1,375.20 and 731.73

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Solution

The fourth proportional to 997.50, 1,375.20 and 731.73 is: 1,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.50 : 1,375.20 = 731.73 : x
  2. Step 2: Convert to fraction form
    997.50/1,375.20 = 731.73/x
  3. Step 3: Cross multiply
    997.50x = 1,375.20 × 731.73
  4. Step 4: Simplify right side
    997.50x = 1,006,275.10
  5. Step 5: Solve for x
    x = 1,006,275.10/997.50
  6. Step 6: Final answer
    x = 1,008.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.