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Finding the Fourth Proportional to 997.52, 1,375.97 and 787.37

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Solution

The fourth proportional to 997.52, 1,375.97 and 787.37 is: 1,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.52 : 1,375.97 = 787.37 : x
  2. Step 2: Convert to fraction form
    997.52/1,375.97 = 787.37/x
  3. Step 3: Cross multiply
    997.52x = 1,375.97 × 787.37
  4. Step 4: Simplify right side
    997.52x = 1,083,386.68
  5. Step 5: Solve for x
    x = 1,083,386.68/997.52
  6. Step 6: Final answer
    x = 1,086.09

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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.