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Finding the Fourth Proportional to 1,198.06, 1,797.22 and 376.36

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Solution

The fourth proportional to 1,198.06, 1,797.22 and 376.36 is: 564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.06 : 1,797.22 = 376.36 : x
  2. Step 2: Convert to fraction form
    1,198.06/1,797.22 = 376.36/x
  3. Step 3: Cross multiply
    1,198.06x = 1,797.22 × 376.36
  4. Step 4: Simplify right side
    1,198.06x = 676,401.72
  5. Step 5: Solve for x
    x = 676,401.72/1,198.06
  6. Step 6: Final answer
    x = 564.58

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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.