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Finding the Fourth Proportional to 681.38, 1,022.16 and 270.50

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Solution

The fourth proportional to 681.38, 1,022.16 and 270.50 is: 405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.38 : 1,022.16 = 270.50 : x
  2. Step 2: Convert to fraction form
    681.38/1,022.16 = 270.50/x
  3. Step 3: Cross multiply
    681.38x = 1,022.16 × 270.50
  4. Step 4: Simplify right side
    681.38x = 276,494.28
  5. Step 5: Solve for x
    x = 276,494.28/681.38
  6. Step 6: Final answer
    x = 405.79

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Why These Related Problems?

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