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Finding the Fourth Proportional to 827.09, 1,241.15 and 480.58

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Solution

The fourth proportional to 827.09, 1,241.15 and 480.58 is: 721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.09 : 1,241.15 = 480.58 : x
  2. Step 2: Convert to fraction form
    827.09/1,241.15 = 480.58/x
  3. Step 3: Cross multiply
    827.09x = 1,241.15 × 480.58
  4. Step 4: Simplify right side
    827.09x = 596,474.69
  5. Step 5: Solve for x
    x = 596,474.69/827.09
  6. Step 6: Final answer
    x = 721.18

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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.