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Finding the Fourth Proportional to 826.44, 1,240.15 and 306.35

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Solution

The fourth proportional to 826.44, 1,240.15 and 306.35 is: 459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.44 : 1,240.15 = 306.35 : x
  2. Step 2: Convert to fraction form
    826.44/1,240.15 = 306.35/x
  3. Step 3: Cross multiply
    826.44x = 1,240.15 × 306.35
  4. Step 4: Simplify right side
    826.44x = 379,919.95
  5. Step 5: Solve for x
    x = 379,919.95/826.44
  6. Step 6: Final answer
    x = 459.71

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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.