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Finding the Fourth Proportional to 1,229.80, 1,846.06 and 682.52

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Solution

The fourth proportional to 1,229.80, 1,846.06 and 682.52 is: 1,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.80 : 1,846.06 = 682.52 : x
  2. Step 2: Convert to fraction form
    1,229.80/1,846.06 = 682.52/x
  3. Step 3: Cross multiply
    1,229.80x = 1,846.06 × 682.52
  4. Step 4: Simplify right side
    1,229.80x = 1,259,972.87
  5. Step 5: Solve for x
    x = 1,259,972.87/1,229.80
  6. Step 6: Final answer
    x = 1,024.53

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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.