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Finding the Fourth Proportional to 1,248.43, 1,872.98 and 426.71

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Solution

The fourth proportional to 1,248.43, 1,872.98 and 426.71 is: 640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.43 : 1,872.98 = 426.71 : x
  2. Step 2: Convert to fraction form
    1,248.43/1,872.98 = 426.71/x
  3. Step 3: Cross multiply
    1,248.43x = 1,872.98 × 426.71
  4. Step 4: Simplify right side
    1,248.43x = 799,219.30
  5. Step 5: Solve for x
    x = 799,219.30/1,248.43
  6. Step 6: Final answer
    x = 640.18

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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.