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Finding the Fourth Proportional to 727.72, 1,091.17 and 338.11

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Solution

The fourth proportional to 727.72, 1,091.17 and 338.11 is: 506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.72 : 1,091.17 = 338.11 : x
  2. Step 2: Convert to fraction form
    727.72/1,091.17 = 338.11/x
  3. Step 3: Cross multiply
    727.72x = 1,091.17 × 338.11
  4. Step 4: Simplify right side
    727.72x = 368,935.49
  5. Step 5: Solve for x
    x = 368,935.49/727.72
  6. Step 6: Final answer
    x = 506.97

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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.