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Finding the Fourth Proportional to 683.20, 1,024.80 and 196.21

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Solution

The fourth proportional to 683.20, 1,024.80 and 196.21 is: 294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.20 : 1,024.80 = 196.21 : x
  2. Step 2: Convert to fraction form
    683.20/1,024.80 = 196.21/x
  3. Step 3: Cross multiply
    683.20x = 1,024.80 × 196.21
  4. Step 4: Simplify right side
    683.20x = 201,076.01
  5. Step 5: Solve for x
    x = 201,076.01/683.20
  6. Step 6: Final answer
    x = 294.32

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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.