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Finding the Fourth Proportional to 681.75, 1,022.52 and 194.85

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Solution

The fourth proportional to 681.75, 1,022.52 and 194.85 is: 292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.75 : 1,022.52 = 194.85 : x
  2. Step 2: Convert to fraction form
    681.75/1,022.52 = 194.85/x
  3. Step 3: Cross multiply
    681.75x = 1,022.52 × 194.85
  4. Step 4: Simplify right side
    681.75x = 199,238.02
  5. Step 5: Solve for x
    x = 199,238.02/681.75
  6. Step 6: Final answer
    x = 292.24

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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.