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Finding the Fourth Proportional to 967.28, 1,331.37 and 826.92

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Solution

The fourth proportional to 967.28, 1,331.37 and 826.92 is: 1,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.28 : 1,331.37 = 826.92 : x
  2. Step 2: Convert to fraction form
    967.28/1,331.37 = 826.92/x
  3. Step 3: Cross multiply
    967.28x = 1,331.37 × 826.92
  4. Step 4: Simplify right side
    967.28x = 1,100,936.48
  5. Step 5: Solve for x
    x = 1,100,936.48/967.28
  6. Step 6: Final answer
    x = 1,138.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.