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Finding the Fourth Proportional to 834.56, 1,150.34 and 668.52

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Solution

The fourth proportional to 834.56, 1,150.34 and 668.52 is: 921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.56 : 1,150.34 = 668.52 : x
  2. Step 2: Convert to fraction form
    834.56/1,150.34 = 668.52/x
  3. Step 3: Cross multiply
    834.56x = 1,150.34 × 668.52
  4. Step 4: Simplify right side
    834.56x = 769,025.30
  5. Step 5: Solve for x
    x = 769,025.30/834.56
  6. Step 6: Final answer
    x = 921.47

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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.