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Finding the Fourth Proportional to 681.80, 1,022.33 and 219.45

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Solution

The fourth proportional to 681.80, 1,022.33 and 219.45 is: 329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.80 : 1,022.33 = 219.45 : x
  2. Step 2: Convert to fraction form
    681.80/1,022.33 = 219.45/x
  3. Step 3: Cross multiply
    681.80x = 1,022.33 × 219.45
  4. Step 4: Simplify right side
    681.80x = 224,349.22
  5. Step 5: Solve for x
    x = 224,349.22/681.80
  6. Step 6: Final answer
    x = 329.06

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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.