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Finding the Fourth Proportional to 834.33, 1,252.44 and 469.56

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Solution

The fourth proportional to 834.33, 1,252.44 and 469.56 is: 704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.33 : 1,252.44 = 469.56 : x
  2. Step 2: Convert to fraction form
    834.33/1,252.44 = 469.56/x
  3. Step 3: Cross multiply
    834.33x = 1,252.44 × 469.56
  4. Step 4: Simplify right side
    834.33x = 588,095.73
  5. Step 5: Solve for x
    x = 588,095.73/834.33
  6. Step 6: Final answer
    x = 704.87

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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.