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Finding the Fourth Proportional to 683.89, 1,025.84 and 196.94

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Solution

The fourth proportional to 683.89, 1,025.84 and 196.94 is: 295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.89 : 1,025.84 = 196.94 : x
  2. Step 2: Convert to fraction form
    683.89/1,025.84 = 196.94/x
  3. Step 3: Cross multiply
    683.89x = 1,025.84 × 196.94
  4. Step 4: Simplify right side
    683.89x = 202,028.93
  5. Step 5: Solve for x
    x = 202,028.93/683.89
  6. Step 6: Final answer
    x = 295.41

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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.