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Finding the Fourth Proportional to 863.46, 1,295.19 and 588.87

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Solution

The fourth proportional to 863.46, 1,295.19 and 588.87 is: 883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.46 : 1,295.19 = 588.87 : x
  2. Step 2: Convert to fraction form
    863.46/1,295.19 = 588.87/x
  3. Step 3: Cross multiply
    863.46x = 1,295.19 × 588.87
  4. Step 4: Simplify right side
    863.46x = 762,692.06
  5. Step 5: Solve for x
    x = 762,692.06/863.46
  6. Step 6: Final answer
    x = 883.30

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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.