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Finding the Fourth Proportional to 681.81, 1,022.58 and 194.91

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Solution

The fourth proportional to 681.81, 1,022.58 and 194.91 is: 292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.81 : 1,022.58 = 194.91 : x
  2. Step 2: Convert to fraction form
    681.81/1,022.58 = 194.91/x
  3. Step 3: Cross multiply
    681.81x = 1,022.58 × 194.91
  4. Step 4: Simplify right side
    681.81x = 199,311.07
  5. Step 5: Solve for x
    x = 199,311.07/681.81
  6. Step 6: Final answer
    x = 292.33

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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.