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Finding the Fourth Proportional to 683.46, 1,025.03 and 196.41

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Solution

The fourth proportional to 683.46, 1,025.03 and 196.41 is: 294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.46 : 1,025.03 = 196.41 : x
  2. Step 2: Convert to fraction form
    683.46/1,025.03 = 196.41/x
  3. Step 3: Cross multiply
    683.46x = 1,025.03 × 196.41
  4. Step 4: Simplify right side
    683.46x = 201,325.16
  5. Step 5: Solve for x
    x = 201,325.16/683.46
  6. Step 6: Final answer
    x = 294.57

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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.