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Finding the Fourth Proportional to 1,199.14, 1,644.02 and 1,177.27

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Solution

The fourth proportional to 1,199.14, 1,644.02 and 1,177.27 is: 1,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.14 : 1,644.02 = 1,177.27 : x
  2. Step 2: Convert to fraction form
    1,199.14/1,644.02 = 1,177.27/x
  3. Step 3: Cross multiply
    1,199.14x = 1,644.02 × 1,177.27
  4. Step 4: Simplify right side
    1,199.14x = 1,935,455.43
  5. Step 5: Solve for x
    x = 1,935,455.43/1,199.14
  6. Step 6: Final answer
    x = 1,614.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.