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Finding the Fourth Proportional to 1,198.09, 1,796.38 and 505.24

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Solution

The fourth proportional to 1,198.09, 1,796.38 and 505.24 is: 757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.09 : 1,796.38 = 505.24 : x
  2. Step 2: Convert to fraction form
    1,198.09/1,796.38 = 505.24/x
  3. Step 3: Cross multiply
    1,198.09x = 1,796.38 × 505.24
  4. Step 4: Simplify right side
    1,198.09x = 907,597.28
  5. Step 5: Solve for x
    x = 907,597.28/1,198.09
  6. Step 6: Final answer
    x = 757.54

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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.