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Finding the Fourth Proportional to 826.49, 1,239.75 and 278.71

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Solution

The fourth proportional to 826.49, 1,239.75 and 278.71 is: 418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.49 : 1,239.75 = 278.71 : x
  2. Step 2: Convert to fraction form
    826.49/1,239.75 = 278.71/x
  3. Step 3: Cross multiply
    826.49x = 1,239.75 × 278.71
  4. Step 4: Simplify right side
    826.49x = 345,527.62
  5. Step 5: Solve for x
    x = 345,527.62/826.49
  6. Step 6: Final answer
    x = 418.07

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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.