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Finding the Fourth Proportional to 827.72, 1,241.34 and 307.64

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Solution

The fourth proportional to 827.72, 1,241.34 and 307.64 is: 461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.72 : 1,241.34 = 307.64 : x
  2. Step 2: Convert to fraction form
    827.72/1,241.34 = 307.64/x
  3. Step 3: Cross multiply
    827.72x = 1,241.34 × 307.64
  4. Step 4: Simplify right side
    827.72x = 381,885.84
  5. Step 5: Solve for x
    x = 381,885.84/827.72
  6. Step 6: Final answer
    x = 461.37

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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.