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Finding the Fourth Proportional to 827.82, 1,241.28 and 365.36

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Solution

The fourth proportional to 827.82, 1,241.28 and 365.36 is: 547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.82 : 1,241.28 = 365.36 : x
  2. Step 2: Convert to fraction form
    827.82/1,241.28 = 365.36/x
  3. Step 3: Cross multiply
    827.82x = 1,241.28 × 365.36
  4. Step 4: Simplify right side
    827.82x = 453,507.85
  5. Step 5: Solve for x
    x = 453,507.85/827.82
  6. Step 6: Final answer
    x = 547.83

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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.