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Finding the Fourth Proportional to 834.12, 1,251.27 and 313.96

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Solution

The fourth proportional to 834.12, 1,251.27 and 313.96 is: 470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.12 : 1,251.27 = 313.96 : x
  2. Step 2: Convert to fraction form
    834.12/1,251.27 = 313.96/x
  3. Step 3: Cross multiply
    834.12x = 1,251.27 × 313.96
  4. Step 4: Simplify right side
    834.12x = 392,848.73
  5. Step 5: Solve for x
    x = 392,848.73/834.12
  6. Step 6: Final answer
    x = 470.97

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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.