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Finding the Fourth Proportional to 681.53, 1,022.31 and 194.58

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Solution

The fourth proportional to 681.53, 1,022.31 and 194.58 is: 291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.53 : 1,022.31 = 194.58 : x
  2. Step 2: Convert to fraction form
    681.53/1,022.31 = 194.58/x
  3. Step 3: Cross multiply
    681.53x = 1,022.31 × 194.58
  4. Step 4: Simplify right side
    681.53x = 198,921.08
  5. Step 5: Solve for x
    x = 198,921.08/681.53
  6. Step 6: Final answer
    x = 291.87

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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.