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Finding the Fourth Proportional to 1,198.72, 1,656.57 and 974.22

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Solution

The fourth proportional to 1,198.72, 1,656.57 and 974.22 is: 1,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.72 : 1,656.57 = 974.22 : x
  2. Step 2: Convert to fraction form
    1,198.72/1,656.57 = 974.22/x
  3. Step 3: Cross multiply
    1,198.72x = 1,656.57 × 974.22
  4. Step 4: Simplify right side
    1,198.72x = 1,613,855.59
  5. Step 5: Solve for x
    x = 1,613,855.59/1,198.72
  6. Step 6: Final answer
    x = 1,346.31

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