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Finding the Fourth Proportional to 827.67, 1,241.19 and 307.56

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Solution

The fourth proportional to 827.67, 1,241.19 and 307.56 is: 461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.67 : 1,241.19 = 307.56 : x
  2. Step 2: Convert to fraction form
    827.67/1,241.19 = 307.56/x
  3. Step 3: Cross multiply
    827.67x = 1,241.19 × 307.56
  4. Step 4: Simplify right side
    827.67x = 381,740.40
  5. Step 5: Solve for x
    x = 381,740.40/827.67
  6. Step 6: Final answer
    x = 461.22

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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.