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Finding the Fourth Proportional to 681.69, 1,022.54 and 194.75

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Solution

The fourth proportional to 681.69, 1,022.54 and 194.75 is: 292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.69 : 1,022.54 = 194.75 : x
  2. Step 2: Convert to fraction form
    681.69/1,022.54 = 194.75/x
  3. Step 3: Cross multiply
    681.69x = 1,022.54 × 194.75
  4. Step 4: Simplify right side
    681.69x = 199,139.67
  5. Step 5: Solve for x
    x = 199,139.67/681.69
  6. Step 6: Final answer
    x = 292.13

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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.