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Finding the Fourth Proportional to 683.20, 942.56 and 535.68

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Solution

The fourth proportional to 683.20, 942.56 and 535.68 is: 739.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.20 : 942.56 = 535.68 : x
  2. Step 2: Convert to fraction form
    683.20/942.56 = 535.68/x
  3. Step 3: Cross multiply
    683.20x = 942.56 × 535.68
  4. Step 4: Simplify right side
    683.20x = 504,910.54
  5. Step 5: Solve for x
    x = 504,910.54/683.20
  6. Step 6: Final answer
    x = 739.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.