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Finding the Fourth Proportional to 836.73, 1,255.85 and 426.15

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Solution

The fourth proportional to 836.73, 1,255.85 and 426.15 is: 639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.73 : 1,255.85 = 426.15 : x
  2. Step 2: Convert to fraction form
    836.73/1,255.85 = 426.15/x
  3. Step 3: Cross multiply
    836.73x = 1,255.85 × 426.15
  4. Step 4: Simplify right side
    836.73x = 535,178.35
  5. Step 5: Solve for x
    x = 535,178.35/836.73
  6. Step 6: Final answer
    x = 639.61

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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.