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Finding the Fourth Proportional to 681.58, 1,022.54 and 219.40

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Solution

The fourth proportional to 681.58, 1,022.54 and 219.40 is: 329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.58 : 1,022.54 = 219.40 : x
  2. Step 2: Convert to fraction form
    681.58/1,022.54 = 219.40/x
  3. Step 3: Cross multiply
    681.58x = 1,022.54 × 219.40
  4. Step 4: Simplify right side
    681.58x = 224,345.28
  5. Step 5: Solve for x
    x = 224,345.28/681.58
  6. Step 6: Final answer
    x = 329.15

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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.