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Finding the Fourth Proportional to 863.66, 1,296.14 and 633.13

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Solution

The fourth proportional to 863.66, 1,296.14 and 633.13 is: 950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.66 : 1,296.14 = 633.13 : x
  2. Step 2: Convert to fraction form
    863.66/1,296.14 = 633.13/x
  3. Step 3: Cross multiply
    863.66x = 1,296.14 × 633.13
  4. Step 4: Simplify right side
    863.66x = 820,625.95
  5. Step 5: Solve for x
    x = 820,625.95/863.66
  6. Step 6: Final answer
    x = 950.18

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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.