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Finding the Fourth Proportional to 834.34, 1,252.66 and 423.76

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Solution

The fourth proportional to 834.34, 1,252.66 and 423.76 is: 636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.34 : 1,252.66 = 423.76 : x
  2. Step 2: Convert to fraction form
    834.34/1,252.66 = 423.76/x
  3. Step 3: Cross multiply
    834.34x = 1,252.66 × 423.76
  4. Step 4: Simplify right side
    834.34x = 530,827.20
  5. Step 5: Solve for x
    x = 530,827.20/834.34
  6. Step 6: Final answer
    x = 636.22

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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.