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Finding the Fourth Proportional to 863.29, 1,288.67 and 799.05

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Solution

The fourth proportional to 863.29, 1,288.67 and 799.05 is: 1,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.29 : 1,288.67 = 799.05 : x
  2. Step 2: Convert to fraction form
    863.29/1,288.67 = 799.05/x
  3. Step 3: Cross multiply
    863.29x = 1,288.67 × 799.05
  4. Step 4: Simplify right side
    863.29x = 1,029,711.76
  5. Step 5: Solve for x
    x = 1,029,711.76/863.29
  6. Step 6: Final answer
    x = 1,192.78

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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.