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Finding the Fourth Proportional to 1,198.22, 1,652.88 and 825.38

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Solution

The fourth proportional to 1,198.22, 1,652.88 and 825.38 is: 1,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.22 : 1,652.88 = 825.38 : x
  2. Step 2: Convert to fraction form
    1,198.22/1,652.88 = 825.38/x
  3. Step 3: Cross multiply
    1,198.22x = 1,652.88 × 825.38
  4. Step 4: Simplify right side
    1,198.22x = 1,364,245.83
  5. Step 5: Solve for x
    x = 1,364,245.83/1,198.22
  6. Step 6: Final answer
    x = 1,138.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.