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Finding the Fourth Proportional to 827.37, 1,241.09 and 307.51

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Solution

The fourth proportional to 827.37, 1,241.09 and 307.51 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.37 : 1,241.09 = 307.51 : x
  2. Step 2: Convert to fraction form
    827.37/1,241.09 = 307.51/x
  3. Step 3: Cross multiply
    827.37x = 1,241.09 × 307.51
  4. Step 4: Simplify right side
    827.37x = 381,647.59
  5. Step 5: Solve for x
    x = 381,647.59/827.37
  6. Step 6: Final answer
    x = 461.28

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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.