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Finding the Fourth Proportional to 997.88, 1,377 and 624.71

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Solution

The fourth proportional to 997.88, 1,377 and 624.71 is: 862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.88 : 1,377 = 624.71 : x
  2. Step 2: Convert to fraction form
    997.88/1,377 = 624.71/x
  3. Step 3: Cross multiply
    997.88x = 1,377 × 624.71
  4. Step 4: Simplify right side
    997.88x = 860,229.11
  5. Step 5: Solve for x
    x = 860,229.11/997.88
  6. Step 6: Final answer
    x = 862.06

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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.