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Finding the Fourth Proportional to 1,203.97, 1,805.85 and 382.12

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Solution

The fourth proportional to 1,203.97, 1,805.85 and 382.12 is: 573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.97 : 1,805.85 = 382.12 : x
  2. Step 2: Convert to fraction form
    1,203.97/1,805.85 = 382.12/x
  3. Step 3: Cross multiply
    1,203.97x = 1,805.85 × 382.12
  4. Step 4: Simplify right side
    1,203.97x = 690,049.49
  5. Step 5: Solve for x
    x = 690,049.49/1,203.97
  6. Step 6: Final answer
    x = 573.15

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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.