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Finding the Fourth Proportional to 827.63, 1,241.42 and 333.92

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Solution

The fourth proportional to 827.63, 1,241.42 and 333.92 is: 500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.63 : 1,241.42 = 333.92 : x
  2. Step 2: Convert to fraction form
    827.63/1,241.42 = 333.92/x
  3. Step 3: Cross multiply
    827.63x = 1,241.42 × 333.92
  4. Step 4: Simplify right side
    827.63x = 414,536.40
  5. Step 5: Solve for x
    x = 414,536.40/827.63
  6. Step 6: Final answer
    x = 500.87

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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.