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Finding the Fourth Proportional to 1,489.64, 2,234.52 and 502.55

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Solution

The fourth proportional to 1,489.64, 2,234.52 and 502.55 is: 753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.64 : 2,234.52 = 502.55 : x
  2. Step 2: Convert to fraction form
    1,489.64/2,234.52 = 502.55/x
  3. Step 3: Cross multiply
    1,489.64x = 2,234.52 × 502.55
  4. Step 4: Simplify right side
    1,489.64x = 1,122,958.03
  5. Step 5: Solve for x
    x = 1,122,958.03/1,489.64
  6. Step 6: Final answer
    x = 753.85

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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.