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Finding the Fourth Proportional to 682.49, 1,024.89 and 424.00

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Solution

The fourth proportional to 682.49, 1,024.89 and 424.00 is: 636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.49 : 1,024.89 = 424.00 : x
  2. Step 2: Convert to fraction form
    682.49/1,024.89 = 424.00/x
  3. Step 3: Cross multiply
    682.49x = 1,024.89 × 424.00
  4. Step 4: Simplify right side
    682.49x = 434,553.05
  5. Step 5: Solve for x
    x = 434,553.05/682.49
  6. Step 6: Final answer
    x = 636.71

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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.