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Finding the Fourth Proportional to 827.69, 1,241.73 and 308.07

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Solution

The fourth proportional to 827.69, 1,241.73 and 308.07 is: 462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.69 : 1,241.73 = 308.07 : x
  2. Step 2: Convert to fraction form
    827.69/1,241.73 = 308.07/x
  3. Step 3: Cross multiply
    827.69x = 1,241.73 × 308.07
  4. Step 4: Simplify right side
    827.69x = 382,539.76
  5. Step 5: Solve for x
    x = 382,539.76/827.69
  6. Step 6: Final answer
    x = 462.18

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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.