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Finding the Fourth Proportional to 871.50, 1,304.13 and 757.29

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Solution

The fourth proportional to 871.50, 1,304.13 and 757.29 is: 1,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.50 : 1,304.13 = 757.29 : x
  2. Step 2: Convert to fraction form
    871.50/1,304.13 = 757.29/x
  3. Step 3: Cross multiply
    871.50x = 1,304.13 × 757.29
  4. Step 4: Simplify right side
    871.50x = 987,604.61
  5. Step 5: Solve for x
    x = 987,604.61/871.50
  6. Step 6: Final answer
    x = 1,133.22

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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.