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Finding the Fourth Proportional to 968.56, 1,338.06 and 759.64

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Solution

The fourth proportional to 968.56, 1,338.06 and 759.64 is: 1,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.56 : 1,338.06 = 759.64 : x
  2. Step 2: Convert to fraction form
    968.56/1,338.06 = 759.64/x
  3. Step 3: Cross multiply
    968.56x = 1,338.06 × 759.64
  4. Step 4: Simplify right side
    968.56x = 1,016,443.90
  5. Step 5: Solve for x
    x = 1,016,443.90/968.56
  6. Step 6: Final answer
    x = 1,049.44

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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.