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Finding the Fourth Proportional to 863.24, 1,191.86 and 514.04

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Solution

The fourth proportional to 863.24, 1,191.86 and 514.04 is: 709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.24 : 1,191.86 = 514.04 : x
  2. Step 2: Convert to fraction form
    863.24/1,191.86 = 514.04/x
  3. Step 3: Cross multiply
    863.24x = 1,191.86 × 514.04
  4. Step 4: Simplify right side
    863.24x = 612,663.71
  5. Step 5: Solve for x
    x = 612,663.71/863.24
  6. Step 6: Final answer
    x = 709.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.