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Finding the Fourth Proportional to 683.04, 1,024.53 and 196.09

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Solution

The fourth proportional to 683.04, 1,024.53 and 196.09 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.04 : 1,024.53 = 196.09 : x
  2. Step 2: Convert to fraction form
    683.04/1,024.53 = 196.09/x
  3. Step 3: Cross multiply
    683.04x = 1,024.53 × 196.09
  4. Step 4: Simplify right side
    683.04x = 200,896.79
  5. Step 5: Solve for x
    x = 200,896.79/683.04
  6. Step 6: Final answer
    x = 294.12

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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.