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Finding the Fourth Proportional to 798.43, 1,194.91 and 634.41

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Solution

The fourth proportional to 798.43, 1,194.91 and 634.41 is: 949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.43 : 1,194.91 = 634.41 : x
  2. Step 2: Convert to fraction form
    798.43/1,194.91 = 634.41/x
  3. Step 3: Cross multiply
    798.43x = 1,194.91 × 634.41
  4. Step 4: Simplify right side
    798.43x = 758,062.85
  5. Step 5: Solve for x
    x = 758,062.85/798.43
  6. Step 6: Final answer
    x = 949.44

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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.