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Finding the Fourth Proportional to 793.78, 1,189.19 and 664.62

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Solution

The fourth proportional to 793.78, 1,189.19 and 664.62 is: 995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.78 : 1,189.19 = 664.62 : x
  2. Step 2: Convert to fraction form
    793.78/1,189.19 = 664.62/x
  3. Step 3: Cross multiply
    793.78x = 1,189.19 × 664.62
  4. Step 4: Simplify right side
    793.78x = 790,359.46
  5. Step 5: Solve for x
    x = 790,359.46/793.78
  6. Step 6: Final answer
    x = 995.69

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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.