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Finding the Fourth Proportional to 997.69, 1,496.63 and 381.91

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Solution

The fourth proportional to 997.69, 1,496.63 and 381.91 is: 572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.69 : 1,496.63 = 381.91 : x
  2. Step 2: Convert to fraction form
    997.69/1,496.63 = 381.91/x
  3. Step 3: Cross multiply
    997.69x = 1,496.63 × 381.91
  4. Step 4: Simplify right side
    997.69x = 571,577.96
  5. Step 5: Solve for x
    x = 571,577.96/997.69
  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.