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Finding the Fourth Proportional to 683.76, 1,025.64 and 196.80

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Solution

The fourth proportional to 683.76, 1,025.64 and 196.80 is: 295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.76 : 1,025.64 = 196.80 : x
  2. Step 2: Convert to fraction form
    683.76/1,025.64 = 196.80/x
  3. Step 3: Cross multiply
    683.76x = 1,025.64 × 196.80
  4. Step 4: Simplify right side
    683.76x = 201,845.95
  5. Step 5: Solve for x
    x = 201,845.95/683.76
  6. Step 6: Final answer
    x = 295.20

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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.