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Finding the Fourth Proportional to 834.83, 1,252.46 and 372.71

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Solution

The fourth proportional to 834.83, 1,252.46 and 372.71 is: 559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.83 : 1,252.46 = 372.71 : x
  2. Step 2: Convert to fraction form
    834.83/1,252.46 = 372.71/x
  3. Step 3: Cross multiply
    834.83x = 1,252.46 × 372.71
  4. Step 4: Simplify right side
    834.83x = 466,796.24
  5. Step 5: Solve for x
    x = 466,796.24/834.83
  6. Step 6: Final answer
    x = 559.15

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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.