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Finding the Fourth Proportional to 837.35, 1,257.18 and 426.77

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Solution

The fourth proportional to 837.35, 1,257.18 and 426.77 is: 640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.35 : 1,257.18 = 426.77 : x
  2. Step 2: Convert to fraction form
    837.35/1,257.18 = 426.77/x
  3. Step 3: Cross multiply
    837.35x = 1,257.18 × 426.77
  4. Step 4: Simplify right side
    837.35x = 536,518.29
  5. Step 5: Solve for x
    x = 536,518.29/837.35
  6. Step 6: Final answer
    x = 640.73

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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.