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Finding the Fourth Proportional to 862.33, 1,286.12 and 733.18

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Solution

The fourth proportional to 862.33, 1,286.12 and 733.18 is: 1,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.33 : 1,286.12 = 733.18 : x
  2. Step 2: Convert to fraction form
    862.33/1,286.12 = 733.18/x
  3. Step 3: Cross multiply
    862.33x = 1,286.12 × 733.18
  4. Step 4: Simplify right side
    862.33x = 942,957.46
  5. Step 5: Solve for x
    x = 942,957.46/862.33
  6. Step 6: Final answer
    x = 1,093.50

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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.