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Finding the Fourth Proportional to 912.72, 1,366.49 and 826.22

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Solution

The fourth proportional to 912.72, 1,366.49 and 826.22 is: 1,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.72 : 1,366.49 = 826.22 : x
  2. Step 2: Convert to fraction form
    912.72/1,366.49 = 826.22/x
  3. Step 3: Cross multiply
    912.72x = 1,366.49 × 826.22
  4. Step 4: Simplify right side
    912.72x = 1,129,010.40
  5. Step 5: Solve for x
    x = 1,129,010.40/912.72
  6. Step 6: Final answer
    x = 1,236.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.