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Finding the Fourth Proportional to 834.19, 1,150.67 and 668.80

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Solution

The fourth proportional to 834.19, 1,150.67 and 668.80 is: 922.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.19 : 1,150.67 = 668.80 : x
  2. Step 2: Convert to fraction form
    834.19/1,150.67 = 668.80/x
  3. Step 3: Cross multiply
    834.19x = 1,150.67 × 668.80
  4. Step 4: Simplify right side
    834.19x = 769,568.10
  5. Step 5: Solve for x
    x = 769,568.10/834.19
  6. Step 6: Final answer
    x = 922.53

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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.