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Finding the Fourth Proportional to 997.92, 1,497.32 and 381.82

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Solution

The fourth proportional to 997.92, 1,497.32 and 381.82 is: 572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.92 : 1,497.32 = 381.82 : x
  2. Step 2: Convert to fraction form
    997.92/1,497.32 = 381.82/x
  3. Step 3: Cross multiply
    997.92x = 1,497.32 × 381.82
  4. Step 4: Simplify right side
    997.92x = 571,706.72
  5. Step 5: Solve for x
    x = 571,706.72/997.92
  6. Step 6: Final answer
    x = 572.90

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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.