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Finding the Fourth Proportional to 683.24, 1,024.92 and 196.32

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Solution

The fourth proportional to 683.24, 1,024.92 and 196.32 is: 294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.24 : 1,024.92 = 196.32 : x
  2. Step 2: Convert to fraction form
    683.24/1,024.92 = 196.32/x
  3. Step 3: Cross multiply
    683.24x = 1,024.92 × 196.32
  4. Step 4: Simplify right side
    683.24x = 201,212.29
  5. Step 5: Solve for x
    x = 201,212.29/683.24
  6. Step 6: Final answer
    x = 294.50

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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.