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Finding the Fourth Proportional to 1,198, 1,795.02 and 1,152.44

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Solution

The fourth proportional to 1,198, 1,795.02 and 1,152.44 is: 1,726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198 : 1,795.02 = 1,152.44 : x
  2. Step 2: Convert to fraction form
    1,198/1,795.02 = 1,152.44/x
  3. Step 3: Cross multiply
    1,198x = 1,795.02 × 1,152.44
  4. Step 4: Simplify right side
    1,198x = 2,068,652.85
  5. Step 5: Solve for x
    x = 2,068,652.85/1,198
  6. Step 6: Final answer
    x = 1,726.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.