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Finding the Fourth Proportional to 827.42, 1,238.02 and 498.49

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Solution

The fourth proportional to 827.42, 1,238.02 and 498.49 is: 745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.42 : 1,238.02 = 498.49 : x
  2. Step 2: Convert to fraction form
    827.42/1,238.02 = 498.49/x
  3. Step 3: Cross multiply
    827.42x = 1,238.02 × 498.49
  4. Step 4: Simplify right side
    827.42x = 617,136.25
  5. Step 5: Solve for x
    x = 617,136.25/827.42
  6. Step 6: Final answer
    x = 745.86

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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.