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Finding the Fourth Proportional to 1,203.78, 1,805.67 and 382.14

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Solution

The fourth proportional to 1,203.78, 1,805.67 and 382.14 is: 573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.78 : 1,805.67 = 382.14 : x
  2. Step 2: Convert to fraction form
    1,203.78/1,805.67 = 382.14/x
  3. Step 3: Cross multiply
    1,203.78x = 1,805.67 × 382.14
  4. Step 4: Simplify right side
    1,203.78x = 690,018.73
  5. Step 5: Solve for x
    x = 690,018.73/1,203.78
  6. Step 6: Final answer
    x = 573.21

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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.