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Finding the Fourth Proportional to 1,489.38, 2,232.57 and 514.83

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Solution

The fourth proportional to 1,489.38, 2,232.57 and 514.83 is: 771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.38 : 2,232.57 = 514.83 : x
  2. Step 2: Convert to fraction form
    1,489.38/2,232.57 = 514.83/x
  3. Step 3: Cross multiply
    1,489.38x = 2,232.57 × 514.83
  4. Step 4: Simplify right side
    1,489.38x = 1,149,394.01
  5. Step 5: Solve for x
    x = 1,149,394.01/1,489.38
  6. Step 6: Final answer
    x = 771.73

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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.