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Finding the Fourth Proportional to 1,242.52, 1,863.82 and 997.90

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Solution

The fourth proportional to 1,242.52, 1,863.82 and 997.90 is: 1,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.52 : 1,863.82 = 997.90 : x
  2. Step 2: Convert to fraction form
    1,242.52/1,863.82 = 997.90/x
  3. Step 3: Cross multiply
    1,242.52x = 1,863.82 × 997.90
  4. Step 4: Simplify right side
    1,242.52x = 1,859,905.98
  5. Step 5: Solve for x
    x = 1,859,905.98/1,242.52
  6. Step 6: Final answer
    x = 1,496.88

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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.