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Finding the Fourth Proportional to 871.44, 1,304.73 and 725.64

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Solution

The fourth proportional to 871.44, 1,304.73 and 725.64 is: 1,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.44 : 1,304.73 = 725.64 : x
  2. Step 2: Convert to fraction form
    871.44/1,304.73 = 725.64/x
  3. Step 3: Cross multiply
    871.44x = 1,304.73 × 725.64
  4. Step 4: Simplify right side
    871.44x = 946,764.28
  5. Step 5: Solve for x
    x = 946,764.28/871.44
  6. Step 6: Final answer
    x = 1,086.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.