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Finding the Fourth Proportional to 681.15, 1,021.32 and 269.82

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Solution

The fourth proportional to 681.15, 1,021.32 and 269.82 is: 404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.15 : 1,021.32 = 269.82 : x
  2. Step 2: Convert to fraction form
    681.15/1,021.32 = 269.82/x
  3. Step 3: Cross multiply
    681.15x = 1,021.32 × 269.82
  4. Step 4: Simplify right side
    681.15x = 275,572.56
  5. Step 5: Solve for x
    x = 275,572.56/681.15
  6. Step 6: Final answer
    x = 404.57

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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.