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Finding the Fourth Proportional to 863.41, 1,295.77 and 632.88

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Solution

The fourth proportional to 863.41, 1,295.77 and 632.88 is: 949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.41 : 1,295.77 = 632.88 : x
  2. Step 2: Convert to fraction form
    863.41/1,295.77 = 632.88/x
  3. Step 3: Cross multiply
    863.41x = 1,295.77 × 632.88
  4. Step 4: Simplify right side
    863.41x = 820,063.75
  5. Step 5: Solve for x
    x = 820,063.75/863.41
  6. Step 6: Final answer
    x = 949.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.