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Finding the Fourth Proportional to 827.91, 1,241.52 and 417.27

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Solution

The fourth proportional to 827.91, 1,241.52 and 417.27 is: 625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.91 : 1,241.52 = 417.27 : x
  2. Step 2: Convert to fraction form
    827.91/1,241.52 = 417.27/x
  3. Step 3: Cross multiply
    827.91x = 1,241.52 × 417.27
  4. Step 4: Simplify right side
    827.91x = 518,049.05
  5. Step 5: Solve for x
    x = 518,049.05/827.91
  6. Step 6: Final answer
    x = 625.73

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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.