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Finding the Fourth Proportional to 865.52, 1,296.68 and 768.32

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Solution

The fourth proportional to 865.52, 1,296.68 and 768.32 is: 1,151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.52 : 1,296.68 = 768.32 : x
  2. Step 2: Convert to fraction form
    865.52/1,296.68 = 768.32/x
  3. Step 3: Cross multiply
    865.52x = 1,296.68 × 768.32
  4. Step 4: Simplify right side
    865.52x = 996,265.18
  5. Step 5: Solve for x
    x = 996,265.18/865.52
  6. Step 6: Final answer
    x = 1,151.06

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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.