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Finding the Fourth Proportional to 681.94, 1,022.96 and 194.98

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Solution

The fourth proportional to 681.94, 1,022.96 and 194.98 is: 292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.94 : 1,022.96 = 194.98 : x
  2. Step 2: Convert to fraction form
    681.94/1,022.96 = 194.98/x
  3. Step 3: Cross multiply
    681.94x = 1,022.96 × 194.98
  4. Step 4: Simplify right side
    681.94x = 199,456.74
  5. Step 5: Solve for x
    x = 199,456.74/681.94
  6. Step 6: Final answer
    x = 292.48

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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.