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Finding the Fourth Proportional to 1,204.14, 1,805.64 and 382.20

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Solution

The fourth proportional to 1,204.14, 1,805.64 and 382.20 is: 573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.14 : 1,805.64 = 382.20 : x
  2. Step 2: Convert to fraction form
    1,204.14/1,805.64 = 382.20/x
  3. Step 3: Cross multiply
    1,204.14x = 1,805.64 × 382.20
  4. Step 4: Simplify right side
    1,204.14x = 690,115.61
  5. Step 5: Solve for x
    x = 690,115.61/1,204.14
  6. Step 6: Final answer
    x = 573.12

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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.