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Finding the Fourth Proportional to 1,204.49, 1,806.78 and 382.73

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Solution

The fourth proportional to 1,204.49, 1,806.78 and 382.73 is: 574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.49 : 1,806.78 = 382.73 : x
  2. Step 2: Convert to fraction form
    1,204.49/1,806.78 = 382.73/x
  3. Step 3: Cross multiply
    1,204.49x = 1,806.78 × 382.73
  4. Step 4: Simplify right side
    1,204.49x = 691,499.88
  5. Step 5: Solve for x
    x = 691,499.88/1,204.49
  6. Step 6: Final answer
    x = 574.10

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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.