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Finding the Fourth Proportional to 834.31, 1,250.87 and 314.27

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Solution

The fourth proportional to 834.31, 1,250.87 and 314.27 is: 471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.31 : 1,250.87 = 314.27 : x
  2. Step 2: Convert to fraction form
    834.31/1,250.87 = 314.27/x
  3. Step 3: Cross multiply
    834.31x = 1,250.87 × 314.27
  4. Step 4: Simplify right side
    834.31x = 393,112.18
  5. Step 5: Solve for x
    x = 393,112.18/834.31
  6. Step 6: Final answer
    x = 471.18

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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.