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Finding the Fourth Proportional to 682.98, 1,024.49 and 196.08

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Solution

The fourth proportional to 682.98, 1,024.49 and 196.08 is: 294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.98 : 1,024.49 = 196.08 : x
  2. Step 2: Convert to fraction form
    682.98/1,024.49 = 196.08/x
  3. Step 3: Cross multiply
    682.98x = 1,024.49 × 196.08
  4. Step 4: Simplify right side
    682.98x = 200,882.00
  5. Step 5: Solve for x
    x = 200,882.00/682.98
  6. Step 6: Final answer
    x = 294.13

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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.