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Finding the Fourth Proportional to 821.25, 1,232.07 and 244.14

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Solution

The fourth proportional to 821.25, 1,232.07 and 244.14 is: 366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.25 : 1,232.07 = 244.14 : x
  2. Step 2: Convert to fraction form
    821.25/1,232.07 = 244.14/x
  3. Step 3: Cross multiply
    821.25x = 1,232.07 × 244.14
  4. Step 4: Simplify right side
    821.25x = 300,797.57
  5. Step 5: Solve for x
    x = 300,797.57/821.25
  6. Step 6: Final answer
    x = 366.27

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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.