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Finding the Fourth Proportional to 681.01, 1,020.75 and 270.03

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Solution

The fourth proportional to 681.01, 1,020.75 and 270.03 is: 404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.01 : 1,020.75 = 270.03 : x
  2. Step 2: Convert to fraction form
    681.01/1,020.75 = 270.03/x
  3. Step 3: Cross multiply
    681.01x = 1,020.75 × 270.03
  4. Step 4: Simplify right side
    681.01x = 275,637.46
  5. Step 5: Solve for x
    x = 275,637.46/681.01
  6. Step 6: Final answer
    x = 404.75

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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.