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Finding the Fourth Proportional to 863.07, 1,294.68 and 634.65

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Solution

The fourth proportional to 863.07, 1,294.68 and 634.65 is: 952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.07 : 1,294.68 = 634.65 : x
  2. Step 2: Convert to fraction form
    863.07/1,294.68 = 634.65/x
  3. Step 3: Cross multiply
    863.07x = 1,294.68 × 634.65
  4. Step 4: Simplify right side
    863.07x = 821,668.66
  5. Step 5: Solve for x
    x = 821,668.66/863.07
  6. Step 6: Final answer
    x = 952.03

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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.