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Finding the Fourth Proportional to 681.49, 1,022.24 and 194.54

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Solution

The fourth proportional to 681.49, 1,022.24 and 194.54 is: 291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.49 : 1,022.24 = 194.54 : x
  2. Step 2: Convert to fraction form
    681.49/1,022.24 = 194.54/x
  3. Step 3: Cross multiply
    681.49x = 1,022.24 × 194.54
  4. Step 4: Simplify right side
    681.49x = 198,869.89
  5. Step 5: Solve for x
    x = 198,869.89/681.49
  6. Step 6: Final answer
    x = 291.82

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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.