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Finding the Fourth Proportional to 871.29, 1,297.49 and 868.86

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Solution

The fourth proportional to 871.29, 1,297.49 and 868.86 is: 1,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.29 : 1,297.49 = 868.86 : x
  2. Step 2: Convert to fraction form
    871.29/1,297.49 = 868.86/x
  3. Step 3: Cross multiply
    871.29x = 1,297.49 × 868.86
  4. Step 4: Simplify right side
    871.29x = 1,127,332.82
  5. Step 5: Solve for x
    x = 1,127,332.82/871.29
  6. Step 6: Final answer
    x = 1,293.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.