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Finding the Fourth Proportional to 866.52, 1,292.92 and 814

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Solution

The fourth proportional to 866.52, 1,292.92 and 814 is: 1,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.52 : 1,292.92 = 814 : x
  2. Step 2: Convert to fraction form
    866.52/1,292.92 = 814/x
  3. Step 3: Cross multiply
    866.52x = 1,292.92 × 814
  4. Step 4: Simplify right side
    866.52x = 1,052,436.88
  5. Step 5: Solve for x
    x = 1,052,436.88/866.52
  6. Step 6: Final answer
    x = 1,214.56

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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.