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Finding the Fourth Proportional to 683.13, 1,024.88 and 196.22

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Solution

The fourth proportional to 683.13, 1,024.88 and 196.22 is: 294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.13 : 1,024.88 = 196.22 : x
  2. Step 2: Convert to fraction form
    683.13/1,024.88 = 196.22/x
  3. Step 3: Cross multiply
    683.13x = 1,024.88 × 196.22
  4. Step 4: Simplify right side
    683.13x = 201,101.95
  5. Step 5: Solve for x
    x = 201,101.95/683.13
  6. Step 6: Final answer
    x = 294.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.