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Finding the Fourth Proportional to 865.31, 1,299.19 and 826.13

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Solution

The fourth proportional to 865.31, 1,299.19 and 826.13 is: 1,240.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.31 : 1,299.19 = 826.13 : x
  2. Step 2: Convert to fraction form
    865.31/1,299.19 = 826.13/x
  3. Step 3: Cross multiply
    865.31x = 1,299.19 × 826.13
  4. Step 4: Simplify right side
    865.31x = 1,073,299.83
  5. Step 5: Solve for x
    x = 1,073,299.83/865.31
  6. Step 6: Final answer
    x = 1,240.36

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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.