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Finding the Fourth Proportional to 1,199.26, 1,797.97 and 1,077.15

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Solution

The fourth proportional to 1,199.26, 1,797.97 and 1,077.15 is: 1,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.26 : 1,797.97 = 1,077.15 : x
  2. Step 2: Convert to fraction form
    1,199.26/1,797.97 = 1,077.15/x
  3. Step 3: Cross multiply
    1,199.26x = 1,797.97 × 1,077.15
  4. Step 4: Simplify right side
    1,199.26x = 1,936,683.39
  5. Step 5: Solve for x
    x = 1,936,683.39/1,199.26
  6. Step 6: Final answer
    x = 1,614.90

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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.