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Finding the Fourth Proportional to 1,149.68, 1,589.46 and 850.46

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Solution

The fourth proportional to 1,149.68, 1,589.46 and 850.46 is: 1,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.68 : 1,589.46 = 850.46 : x
  2. Step 2: Convert to fraction form
    1,149.68/1,589.46 = 850.46/x
  3. Step 3: Cross multiply
    1,149.68x = 1,589.46 × 850.46
  4. Step 4: Simplify right side
    1,149.68x = 1,351,772.15
  5. Step 5: Solve for x
    x = 1,351,772.15/1,149.68
  6. Step 6: Final answer
    x = 1,175.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.