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Finding the Fourth Proportional to 863.45, 1,295.88 and 517.17

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Solution

The fourth proportional to 863.45, 1,295.88 and 517.17 is: 776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.45 : 1,295.88 = 517.17 : x
  2. Step 2: Convert to fraction form
    863.45/1,295.88 = 517.17/x
  3. Step 3: Cross multiply
    863.45x = 1,295.88 × 517.17
  4. Step 4: Simplify right side
    863.45x = 670,190.26
  5. Step 5: Solve for x
    x = 670,190.26/863.45
  6. Step 6: Final answer
    x = 776.18

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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.