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Finding the Fourth Proportional to 1,248.19, 1,872.61 and 426.46

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Solution

The fourth proportional to 1,248.19, 1,872.61 and 426.46 is: 639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.19 : 1,872.61 = 426.46 : x
  2. Step 2: Convert to fraction form
    1,248.19/1,872.61 = 426.46/x
  3. Step 3: Cross multiply
    1,248.19x = 1,872.61 × 426.46
  4. Step 4: Simplify right side
    1,248.19x = 798,581.77
  5. Step 5: Solve for x
    x = 798,581.77/1,248.19
  6. Step 6: Final answer
    x = 639.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.