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Finding the Fourth Proportional to 681.69, 1,022.54 and 270.83

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Solution

The fourth proportional to 681.69, 1,022.54 and 270.83 is: 406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.69 : 1,022.54 = 270.83 : x
  2. Step 2: Convert to fraction form
    681.69/1,022.54 = 270.83/x
  3. Step 3: Cross multiply
    681.69x = 1,022.54 × 270.83
  4. Step 4: Simplify right side
    681.69x = 276,929.80
  5. Step 5: Solve for x
    x = 276,929.80/681.69
  6. Step 6: Final answer
    x = 406.24

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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.