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Finding the Fourth Proportional to 683.25, 1,024.92 and 298.50

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Solution

The fourth proportional to 683.25, 1,024.92 and 298.50 is: 447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.25 : 1,024.92 = 298.50 : x
  2. Step 2: Convert to fraction form
    683.25/1,024.92 = 298.50/x
  3. Step 3: Cross multiply
    683.25x = 1,024.92 × 298.50
  4. Step 4: Simplify right side
    683.25x = 305,938.62
  5. Step 5: Solve for x
    x = 305,938.62/683.25
  6. Step 6: Final answer
    x = 447.77

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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.