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Finding the Fourth Proportional to 1,198.22, 1,653.45 and 667.06

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Solution

The fourth proportional to 1,198.22, 1,653.45 and 667.06 is: 920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.22 : 1,653.45 = 667.06 : x
  2. Step 2: Convert to fraction form
    1,198.22/1,653.45 = 667.06/x
  3. Step 3: Cross multiply
    1,198.22x = 1,653.45 × 667.06
  4. Step 4: Simplify right side
    1,198.22x = 1,102,947.02
  5. Step 5: Solve for x
    x = 1,102,947.02/1,198.22
  6. Step 6: Final answer
    x = 920.49

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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.