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Finding the Fourth Proportional to 826.48, 1,238.28 and 519.04

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Solution

The fourth proportional to 826.48, 1,238.28 and 519.04 is: 777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.48 : 1,238.28 = 519.04 : x
  2. Step 2: Convert to fraction form
    826.48/1,238.28 = 519.04/x
  3. Step 3: Cross multiply
    826.48x = 1,238.28 × 519.04
  4. Step 4: Simplify right side
    826.48x = 642,716.85
  5. Step 5: Solve for x
    x = 642,716.85/826.48
  6. Step 6: Final answer
    x = 777.66

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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.