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Finding the Fourth Proportional to 863.87, 1,297.11 and 541.31

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Solution

The fourth proportional to 863.87, 1,297.11 and 541.31 is: 812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.87 : 1,297.11 = 541.31 : x
  2. Step 2: Convert to fraction form
    863.87/1,297.11 = 541.31/x
  3. Step 3: Cross multiply
    863.87x = 1,297.11 × 541.31
  4. Step 4: Simplify right side
    863.87x = 702,138.61
  5. Step 5: Solve for x
    x = 702,138.61/863.87
  6. Step 6: Final answer
    x = 812.78

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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.