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Finding the Fourth Proportional to 681.92, 1,022.24 and 296.96

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Solution

The fourth proportional to 681.92, 1,022.24 and 296.96 is: 445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.92 : 1,022.24 = 296.96 : x
  2. Step 2: Convert to fraction form
    681.92/1,022.24 = 296.96/x
  3. Step 3: Cross multiply
    681.92x = 1,022.24 × 296.96
  4. Step 4: Simplify right side
    681.92x = 303,564.39
  5. Step 5: Solve for x
    x = 303,564.39/681.92
  6. Step 6: Final answer
    x = 445.16

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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.