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Finding the Fourth Proportional to 1,202.54, 1,804.61 and 422.54

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Solution

The fourth proportional to 1,202.54, 1,804.61 and 422.54 is: 634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.54 : 1,804.61 = 422.54 : x
  2. Step 2: Convert to fraction form
    1,202.54/1,804.61 = 422.54/x
  3. Step 3: Cross multiply
    1,202.54x = 1,804.61 × 422.54
  4. Step 4: Simplify right side
    1,202.54x = 762,519.91
  5. Step 5: Solve for x
    x = 762,519.91/1,202.54
  6. Step 6: Final answer
    x = 634.09

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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.