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Finding the Fourth Proportional to 681.73, 1,022.45 and 194.77

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Solution

The fourth proportional to 681.73, 1,022.45 and 194.77 is: 292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.73 : 1,022.45 = 194.77 : x
  2. Step 2: Convert to fraction form
    681.73/1,022.45 = 194.77/x
  3. Step 3: Cross multiply
    681.73x = 1,022.45 × 194.77
  4. Step 4: Simplify right side
    681.73x = 199,141.61
  5. Step 5: Solve for x
    x = 199,141.61/681.73
  6. Step 6: Final answer
    x = 292.11

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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.