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Finding the Fourth Proportional to 997.12, 1,496.23 and 449.26

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Solution

The fourth proportional to 997.12, 1,496.23 and 449.26 is: 674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.12 : 1,496.23 = 449.26 : x
  2. Step 2: Convert to fraction form
    997.12/1,496.23 = 449.26/x
  3. Step 3: Cross multiply
    997.12x = 1,496.23 × 449.26
  4. Step 4: Simplify right side
    997.12x = 672,191.43
  5. Step 5: Solve for x
    x = 672,191.43/997.12
  6. Step 6: Final answer
    x = 674.13

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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.