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Finding the Fourth Proportional to 683.01, 1,024.34 and 196.09

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Solution

The fourth proportional to 683.01, 1,024.34 and 196.09 is: 294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.01 : 1,024.34 = 196.09 : x
  2. Step 2: Convert to fraction form
    683.01/1,024.34 = 196.09/x
  3. Step 3: Cross multiply
    683.01x = 1,024.34 × 196.09
  4. Step 4: Simplify right side
    683.01x = 200,859.29
  5. Step 5: Solve for x
    x = 200,859.29/683.01
  6. Step 6: Final answer
    x = 294.08

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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.