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Finding the Fourth Proportional to 683, 1,024.50 and 298.52

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Solution

The fourth proportional to 683, 1,024.50 and 298.52 is: 447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    683 : 1,024.50 = 298.52 : x
  2. Step 2: Convert to fraction form
    683/1,024.50 = 298.52/x
  3. Step 3: Cross multiply
    683x = 1,024.50 × 298.52
  4. Step 4: Simplify right side
    683x = 305,833.74
  5. Step 5: Solve for x
    x = 305,833.74/683
  6. Step 6: Final answer
    x = 447.78

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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.