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Finding the Fourth Proportional to 997.47, 1,496.52 and 449.73

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Solution

The fourth proportional to 997.47, 1,496.52 and 449.73 is: 674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.47 : 1,496.52 = 449.73 : x
  2. Step 2: Convert to fraction form
    997.47/1,496.52 = 449.73/x
  3. Step 3: Cross multiply
    997.47x = 1,496.52 × 449.73
  4. Step 4: Simplify right side
    997.47x = 673,029.94
  5. Step 5: Solve for x
    x = 673,029.94/997.47
  6. Step 6: Final answer
    x = 674.74

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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.