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Finding the Fourth Proportional to 834.21, 1,252.10 and 423.65

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Solution

The fourth proportional to 834.21, 1,252.10 and 423.65 is: 635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.21 : 1,252.10 = 423.65 : x
  2. Step 2: Convert to fraction form
    834.21/1,252.10 = 423.65/x
  3. Step 3: Cross multiply
    834.21x = 1,252.10 × 423.65
  4. Step 4: Simplify right side
    834.21x = 530,446.96
  5. Step 5: Solve for x
    x = 530,446.96/834.21
  6. Step 6: Final answer
    x = 635.87

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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.