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Finding the Fourth Proportional to 1,204.82, 1,806.69 and 382.94

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Solution

The fourth proportional to 1,204.82, 1,806.69 and 382.94 is: 574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.82 : 1,806.69 = 382.94 : x
  2. Step 2: Convert to fraction form
    1,204.82/1,806.69 = 382.94/x
  3. Step 3: Cross multiply
    1,204.82x = 1,806.69 × 382.94
  4. Step 4: Simplify right side
    1,204.82x = 691,853.87
  5. Step 5: Solve for x
    x = 691,853.87/1,204.82
  6. Step 6: Final answer
    x = 574.24

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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.