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Finding the Fourth Proportional to 681.78, 1,022.88 and 270.91

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Solution

The fourth proportional to 681.78, 1,022.88 and 270.91 is: 406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.78 : 1,022.88 = 270.91 : x
  2. Step 2: Convert to fraction form
    681.78/1,022.88 = 270.91/x
  3. Step 3: Cross multiply
    681.78x = 1,022.88 × 270.91
  4. Step 4: Simplify right side
    681.78x = 277,109.19
  5. Step 5: Solve for x
    x = 277,109.19/681.78
  6. Step 6: Final answer
    x = 406.45

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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.