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Finding the Fourth Proportional to 836.68, 1,255.78 and 426.10

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Solution

The fourth proportional to 836.68, 1,255.78 and 426.10 is: 639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.68 : 1,255.78 = 426.10 : x
  2. Step 2: Convert to fraction form
    836.68/1,255.78 = 426.10/x
  3. Step 3: Cross multiply
    836.68x = 1,255.78 × 426.10
  4. Step 4: Simplify right side
    836.68x = 535,087.86
  5. Step 5: Solve for x
    x = 535,087.86/836.68
  6. Step 6: Final answer
    x = 639.54

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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.