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Finding the Fourth Proportional to 844.41, 1,265.10 and 793.59

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Solution

The fourth proportional to 844.41, 1,265.10 and 793.59 is: 1,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.41 : 1,265.10 = 793.59 : x
  2. Step 2: Convert to fraction form
    844.41/1,265.10 = 793.59/x
  3. Step 3: Cross multiply
    844.41x = 1,265.10 × 793.59
  4. Step 4: Simplify right side
    844.41x = 1,003,964.38
  5. Step 5: Solve for x
    x = 1,003,964.38/844.41
  6. Step 6: Final answer
    x = 1,188.95

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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.