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Finding the Fourth Proportional to 766.64, 1,149.96 and 425.36

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Solution

The fourth proportional to 766.64, 1,149.96 and 425.36 is: 638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.64 : 1,149.96 = 425.36 : x
  2. Step 2: Convert to fraction form
    766.64/1,149.96 = 425.36/x
  3. Step 3: Cross multiply
    766.64x = 1,149.96 × 425.36
  4. Step 4: Simplify right side
    766.64x = 489,146.99
  5. Step 5: Solve for x
    x = 489,146.99/766.64
  6. Step 6: Final answer
    x = 638.04

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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.