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Finding the Fourth Proportional to 1,253.26, 1,729.65 and 787.42

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Solution

The fourth proportional to 1,253.26, 1,729.65 and 787.42 is: 1,086.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.26 : 1,729.65 = 787.42 : x
  2. Step 2: Convert to fraction form
    1,253.26/1,729.65 = 787.42/x
  3. Step 3: Cross multiply
    1,253.26x = 1,729.65 × 787.42
  4. Step 4: Simplify right side
    1,253.26x = 1,361,961.00
  5. Step 5: Solve for x
    x = 1,361,961.00/1,253.26
  6. Step 6: Final answer
    x = 1,086.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.