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Finding the Fourth Proportional to 851.52, 1,278.17 and 754.64

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Solution

The fourth proportional to 851.52, 1,278.17 and 754.64 is: 1,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.52 : 1,278.17 = 754.64 : x
  2. Step 2: Convert to fraction form
    851.52/1,278.17 = 754.64/x
  3. Step 3: Cross multiply
    851.52x = 1,278.17 × 754.64
  4. Step 4: Simplify right side
    851.52x = 964,563.29
  5. Step 5: Solve for x
    x = 964,563.29/851.52
  6. Step 6: Final answer
    x = 1,132.75

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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.