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Finding the Fourth Proportional to 683.25, 1,024.86 and 196.30

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Solution

The fourth proportional to 683.25, 1,024.86 and 196.30 is: 294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.25 : 1,024.86 = 196.30 : x
  2. Step 2: Convert to fraction form
    683.25/1,024.86 = 196.30/x
  3. Step 3: Cross multiply
    683.25x = 1,024.86 × 196.30
  4. Step 4: Simplify right side
    683.25x = 201,180.02
  5. Step 5: Solve for x
    x = 201,180.02/683.25
  6. Step 6: Final answer
    x = 294.45

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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.