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Finding the Fourth Proportional to 1,248.14, 1,872.38 and 426.54

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Solution

The fourth proportional to 1,248.14, 1,872.38 and 426.54 is: 639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.14 : 1,872.38 = 426.54 : x
  2. Step 2: Convert to fraction form
    1,248.14/1,872.38 = 426.54/x
  3. Step 3: Cross multiply
    1,248.14x = 1,872.38 × 426.54
  4. Step 4: Simplify right side
    1,248.14x = 798,642.83
  5. Step 5: Solve for x
    x = 798,642.83/1,248.14
  6. Step 6: Final answer
    x = 639.87

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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.