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Finding the Fourth Proportional to 682.54, 1,024.25 and 249.68

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Solution

The fourth proportional to 682.54, 1,024.25 and 249.68 is: 374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.54 : 1,024.25 = 249.68 : x
  2. Step 2: Convert to fraction form
    682.54/1,024.25 = 249.68/x
  3. Step 3: Cross multiply
    682.54x = 1,024.25 × 249.68
  4. Step 4: Simplify right side
    682.54x = 255,736.05
  5. Step 5: Solve for x
    x = 255,736.05/682.54
  6. Step 6: Final answer
    x = 374.68

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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.