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Finding the Fourth Proportional to 766.67, 1,057.46 and 668.25

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Solution

The fourth proportional to 766.67, 1,057.46 and 668.25 is: 921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.67 : 1,057.46 = 668.25 : x
  2. Step 2: Convert to fraction form
    766.67/1,057.46 = 668.25/x
  3. Step 3: Cross multiply
    766.67x = 1,057.46 × 668.25
  4. Step 4: Simplify right side
    766.67x = 706,644.30
  5. Step 5: Solve for x
    x = 706,644.30/766.67
  6. Step 6: Final answer
    x = 921.71

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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.