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Finding the Fourth Proportional to 827.76, 1,241.66 and 211.48

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Solution

The fourth proportional to 827.76, 1,241.66 and 211.48 is: 317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.76 : 1,241.66 = 211.48 : x
  2. Step 2: Convert to fraction form
    827.76/1,241.66 = 211.48/x
  3. Step 3: Cross multiply
    827.76x = 1,241.66 × 211.48
  4. Step 4: Simplify right side
    827.76x = 262,586.26
  5. Step 5: Solve for x
    x = 262,586.26/827.76
  6. Step 6: Final answer
    x = 317.23

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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.