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Finding the Fourth Proportional to 1,489.31, 2,233.24 and 449.12

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Solution

The fourth proportional to 1,489.31, 2,233.24 and 449.12 is: 673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.31 : 2,233.24 = 449.12 : x
  2. Step 2: Convert to fraction form
    1,489.31/2,233.24 = 449.12/x
  3. Step 3: Cross multiply
    1,489.31x = 2,233.24 × 449.12
  4. Step 4: Simplify right side
    1,489.31x = 1,002,987.17
  5. Step 5: Solve for x
    x = 1,002,987.17/1,489.31
  6. Step 6: Final answer
    x = 673.46

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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.