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Finding the Fourth Proportional to 834.18, 1,250.34 and 371.46

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Solution

The fourth proportional to 834.18, 1,250.34 and 371.46 is: 556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.18 : 1,250.34 = 371.46 : x
  2. Step 2: Convert to fraction form
    834.18/1,250.34 = 371.46/x
  3. Step 3: Cross multiply
    834.18x = 1,250.34 × 371.46
  4. Step 4: Simplify right side
    834.18x = 464,451.30
  5. Step 5: Solve for x
    x = 464,451.30/834.18
  6. Step 6: Final answer
    x = 556.78

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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.