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Finding the Fourth Proportional to 834.91, 1,252.38 and 423.55

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Solution

The fourth proportional to 834.91, 1,252.38 and 423.55 is: 635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.91 : 1,252.38 = 423.55 : x
  2. Step 2: Convert to fraction form
    834.91/1,252.38 = 423.55/x
  3. Step 3: Cross multiply
    834.91x = 1,252.38 × 423.55
  4. Step 4: Simplify right side
    834.91x = 530,445.55
  5. Step 5: Solve for x
    x = 530,445.55/834.91
  6. Step 6: Final answer
    x = 635.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.