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Finding the Fourth Proportional to 683.28, 1,024.96 and 196.33

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Solution

The fourth proportional to 683.28, 1,024.96 and 196.33 is: 294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.28 : 1,024.96 = 196.33 : x
  2. Step 2: Convert to fraction form
    683.28/1,024.96 = 196.33/x
  3. Step 3: Cross multiply
    683.28x = 1,024.96 × 196.33
  4. Step 4: Simplify right side
    683.28x = 201,230.40
  5. Step 5: Solve for x
    x = 201,230.40/683.28
  6. Step 6: Final answer
    x = 294.51

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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.