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Finding the Fourth Proportional to 826.39, 1,238.84 and 306.07

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Solution

The fourth proportional to 826.39, 1,238.84 and 306.07 is: 458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.39 : 1,238.84 = 306.07 : x
  2. Step 2: Convert to fraction form
    826.39/1,238.84 = 306.07/x
  3. Step 3: Cross multiply
    826.39x = 1,238.84 × 306.07
  4. Step 4: Simplify right side
    826.39x = 379,168.26
  5. Step 5: Solve for x
    x = 379,168.26/826.39
  6. Step 6: Final answer
    x = 458.82

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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.