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Finding the Fourth Proportional to 1,204.12, 1,806.07 and 382.94

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Solution

The fourth proportional to 1,204.12, 1,806.07 and 382.94 is: 574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.12 : 1,806.07 = 382.94 : x
  2. Step 2: Convert to fraction form
    1,204.12/1,806.07 = 382.94/x
  3. Step 3: Cross multiply
    1,204.12x = 1,806.07 × 382.94
  4. Step 4: Simplify right side
    1,204.12x = 691,616.45
  5. Step 5: Solve for x
    x = 691,616.45/1,204.12
  6. Step 6: Final answer
    x = 574.38

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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.