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Finding the Fourth Proportional to 868.44, 1,296.12 and 758.88

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Solution

The fourth proportional to 868.44, 1,296.12 and 758.88 is: 1,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.44 : 1,296.12 = 758.88 : x
  2. Step 2: Convert to fraction form
    868.44/1,296.12 = 758.88/x
  3. Step 3: Cross multiply
    868.44x = 1,296.12 × 758.88
  4. Step 4: Simplify right side
    868.44x = 983,599.55
  5. Step 5: Solve for x
    x = 983,599.55/868.44
  6. Step 6: Final answer
    x = 1,132.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.