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Finding the Fourth Proportional to 681.64, 1,022.46 and 194.69

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Solution

The fourth proportional to 681.64, 1,022.46 and 194.69 is: 292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.64 : 1,022.46 = 194.69 : x
  2. Step 2: Convert to fraction form
    681.64/1,022.46 = 194.69/x
  3. Step 3: Cross multiply
    681.64x = 1,022.46 × 194.69
  4. Step 4: Simplify right side
    681.64x = 199,062.74
  5. Step 5: Solve for x
    x = 199,062.74/681.64
  6. Step 6: Final answer
    x = 292.04

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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.