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Finding the Fourth Proportional to 1,203.91, 1,805.86 and 382.18

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Solution

The fourth proportional to 1,203.91, 1,805.86 and 382.18 is: 573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.91 : 1,805.86 = 382.18 : x
  2. Step 2: Convert to fraction form
    1,203.91/1,805.86 = 382.18/x
  3. Step 3: Cross multiply
    1,203.91x = 1,805.86 × 382.18
  4. Step 4: Simplify right side
    1,203.91x = 690,163.57
  5. Step 5: Solve for x
    x = 690,163.57/1,203.91
  6. Step 6: Final answer
    x = 573.27

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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.