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Finding the Fourth Proportional to 863.26, 1,191.61 and 584.11

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Solution

The fourth proportional to 863.26, 1,191.61 and 584.11 is: 806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.26 : 1,191.61 = 584.11 : x
  2. Step 2: Convert to fraction form
    863.26/1,191.61 = 584.11/x
  3. Step 3: Cross multiply
    863.26x = 1,191.61 × 584.11
  4. Step 4: Simplify right side
    863.26x = 696,033.54
  5. Step 5: Solve for x
    x = 696,033.54/863.26
  6. Step 6: Final answer
    x = 806.29

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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.