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Finding the Fourth Proportional to 871.31, 1,297.06 and 831.49

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Solution

The fourth proportional to 871.31, 1,297.06 and 831.49 is: 1,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.31 : 1,297.06 = 831.49 : x
  2. Step 2: Convert to fraction form
    871.31/1,297.06 = 831.49/x
  3. Step 3: Cross multiply
    871.31x = 1,297.06 × 831.49
  4. Step 4: Simplify right side
    871.31x = 1,078,487.10
  5. Step 5: Solve for x
    x = 1,078,487.10/871.31
  6. Step 6: Final answer
    x = 1,237.77

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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.