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Finding the Fourth Proportional to 681.14, 1,021.75 and 194.23

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Solution

The fourth proportional to 681.14, 1,021.75 and 194.23 is: 291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.14 : 1,021.75 = 194.23 : x
  2. Step 2: Convert to fraction form
    681.14/1,021.75 = 194.23/x
  3. Step 3: Cross multiply
    681.14x = 1,021.75 × 194.23
  4. Step 4: Simplify right side
    681.14x = 198,454.50
  5. Step 5: Solve for x
    x = 198,454.50/681.14
  6. Step 6: Final answer
    x = 291.36

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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.