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Finding the Fourth Proportional to 682.98, 1,024.64 and 196.07

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Solution

The fourth proportional to 682.98, 1,024.64 and 196.07 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.98 : 1,024.64 = 196.07 : x
  2. Step 2: Convert to fraction form
    682.98/1,024.64 = 196.07/x
  3. Step 3: Cross multiply
    682.98x = 1,024.64 × 196.07
  4. Step 4: Simplify right side
    682.98x = 200,896.04
  5. Step 5: Solve for x
    x = 200,896.04/682.98
  6. Step 6: Final answer
    x = 294.15

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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.