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Finding the Fourth Proportional to 1,304.18, 1,956.30 and 426.69

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Solution

The fourth proportional to 1,304.18, 1,956.30 and 426.69 is: 640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.18 : 1,956.30 = 426.69 : x
  2. Step 2: Convert to fraction form
    1,304.18/1,956.30 = 426.69/x
  3. Step 3: Cross multiply
    1,304.18x = 1,956.30 × 426.69
  4. Step 4: Simplify right side
    1,304.18x = 834,721.73
  5. Step 5: Solve for x
    x = 834,721.73/1,304.18
  6. Step 6: Final answer
    x = 640.04

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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.