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Finding the Fourth Proportional to 834.06, 1,249.29 and 448.50

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Solution

The fourth proportional to 834.06, 1,249.29 and 448.50 is: 671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.06 : 1,249.29 = 448.50 : x
  2. Step 2: Convert to fraction form
    834.06/1,249.29 = 448.50/x
  3. Step 3: Cross multiply
    834.06x = 1,249.29 × 448.50
  4. Step 4: Simplify right side
    834.06x = 560,306.57
  5. Step 5: Solve for x
    x = 560,306.57/834.06
  6. Step 6: Final answer
    x = 671.78

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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.