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Finding the Fourth Proportional to 766.96, 1,057.96 and 600.92

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Solution

The fourth proportional to 766.96, 1,057.96 and 600.92 is: 828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.96 : 1,057.96 = 600.92 : x
  2. Step 2: Convert to fraction form
    766.96/1,057.96 = 600.92/x
  3. Step 3: Cross multiply
    766.96x = 1,057.96 × 600.92
  4. Step 4: Simplify right side
    766.96x = 635,749.32
  5. Step 5: Solve for x
    x = 635,749.32/766.96
  6. Step 6: Final answer
    x = 828.92

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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.