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Finding the Fourth Proportional to 834.40, 1,150.49 and 668.48

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Solution

The fourth proportional to 834.40, 1,150.49 and 668.48 is: 921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.40 : 1,150.49 = 668.48 : x
  2. Step 2: Convert to fraction form
    834.40/1,150.49 = 668.48/x
  3. Step 3: Cross multiply
    834.40x = 1,150.49 × 668.48
  4. Step 4: Simplify right side
    834.40x = 769,079.56
  5. Step 5: Solve for x
    x = 769,079.56/834.40
  6. Step 6: Final answer
    x = 921.72

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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.