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Finding the Fourth Proportional to 1,204.23, 1,806.67 and 382.49

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Solution

The fourth proportional to 1,204.23, 1,806.67 and 382.49 is: 573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.23 : 1,806.67 = 382.49 : x
  2. Step 2: Convert to fraction form
    1,204.23/1,806.67 = 382.49/x
  3. Step 3: Cross multiply
    1,204.23x = 1,806.67 × 382.49
  4. Step 4: Simplify right side
    1,204.23x = 691,031.43
  5. Step 5: Solve for x
    x = 691,031.43/1,204.23
  6. Step 6: Final answer
    x = 573.83

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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.