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Finding the Fourth Proportional to 834.57, 1,252.70 and 737.71

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Solution

The fourth proportional to 834.57, 1,252.70 and 737.71 is: 1,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.57 : 1,252.70 = 737.71 : x
  2. Step 2: Convert to fraction form
    834.57/1,252.70 = 737.71/x
  3. Step 3: Cross multiply
    834.57x = 1,252.70 × 737.71
  4. Step 4: Simplify right side
    834.57x = 924,125.26
  5. Step 5: Solve for x
    x = 924,125.26/834.57
  6. Step 6: Final answer
    x = 1,107.31

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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.