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Finding the Fourth Proportional to 827.15, 1,238.49 and 415.26

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Solution

The fourth proportional to 827.15, 1,238.49 and 415.26 is: 621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.15 : 1,238.49 = 415.26 : x
  2. Step 2: Convert to fraction form
    827.15/1,238.49 = 415.26/x
  3. Step 3: Cross multiply
    827.15x = 1,238.49 × 415.26
  4. Step 4: Simplify right side
    827.15x = 514,295.36
  5. Step 5: Solve for x
    x = 514,295.36/827.15
  6. Step 6: Final answer
    x = 621.77

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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.