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Finding the Fourth Proportional to 682.97, 1,024.47 and 250.13

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Solution

The fourth proportional to 682.97, 1,024.47 and 250.13 is: 375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.97 : 1,024.47 = 250.13 : x
  2. Step 2: Convert to fraction form
    682.97/1,024.47 = 250.13/x
  3. Step 3: Cross multiply
    682.97x = 1,024.47 × 250.13
  4. Step 4: Simplify right side
    682.97x = 256,245.56
  5. Step 5: Solve for x
    x = 256,245.56/682.97
  6. Step 6: Final answer
    x = 375.19

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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.