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Finding the Fourth Proportional to 1,489.25, 2,233.97 and 449.21

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Solution

The fourth proportional to 1,489.25, 2,233.97 and 449.21 is: 673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.25 : 2,233.97 = 449.21 : x
  2. Step 2: Convert to fraction form
    1,489.25/2,233.97 = 449.21/x
  3. Step 3: Cross multiply
    1,489.25x = 2,233.97 × 449.21
  4. Step 4: Simplify right side
    1,489.25x = 1,003,521.66
  5. Step 5: Solve for x
    x = 1,003,521.66/1,489.25
  6. Step 6: Final answer
    x = 673.84

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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.