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Finding the Fourth Proportional to 1,202.97, 1,804.50 and 381.22

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Solution

The fourth proportional to 1,202.97, 1,804.50 and 381.22 is: 571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.97 : 1,804.50 = 381.22 : x
  2. Step 2: Convert to fraction form
    1,202.97/1,804.50 = 381.22/x
  3. Step 3: Cross multiply
    1,202.97x = 1,804.50 × 381.22
  4. Step 4: Simplify right side
    1,202.97x = 687,918.20
  5. Step 5: Solve for x
    x = 687,918.20/1,202.97
  6. Step 6: Final answer
    x = 571.85

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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.