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Finding the Fourth Proportional to 1,489.77, 2,234.21 and 502.47

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Solution

The fourth proportional to 1,489.77, 2,234.21 and 502.47 is: 753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.77 : 2,234.21 = 502.47 : x
  2. Step 2: Convert to fraction form
    1,489.77/2,234.21 = 502.47/x
  3. Step 3: Cross multiply
    1,489.77x = 2,234.21 × 502.47
  4. Step 4: Simplify right side
    1,489.77x = 1,122,624.75
  5. Step 5: Solve for x
    x = 1,122,624.75/1,489.77
  6. Step 6: Final answer
    x = 753.56

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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.