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Finding the Fourth Proportional to 827.48, 1,241.83 and 327.24

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Solution

The fourth proportional to 827.48, 1,241.83 and 327.24 is: 491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.48 : 1,241.83 = 327.24 : x
  2. Step 2: Convert to fraction form
    827.48/1,241.83 = 327.24/x
  3. Step 3: Cross multiply
    827.48x = 1,241.83 × 327.24
  4. Step 4: Simplify right side
    827.48x = 406,376.86
  5. Step 5: Solve for x
    x = 406,376.86/827.48
  6. Step 6: Final answer
    x = 491.10

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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.