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Finding the Fourth Proportional to 1,253.57, 1,729.72 and 787.49

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Solution

The fourth proportional to 1,253.57, 1,729.72 and 787.49 is: 1,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.57 : 1,729.72 = 787.49 : x
  2. Step 2: Convert to fraction form
    1,253.57/1,729.72 = 787.49/x
  3. Step 3: Cross multiply
    1,253.57x = 1,729.72 × 787.49
  4. Step 4: Simplify right side
    1,253.57x = 1,362,137.20
  5. Step 5: Solve for x
    x = 1,362,137.20/1,253.57
  6. Step 6: Final answer
    x = 1,086.61

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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.