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Finding the Fourth Proportional to 1,196.11, 1,793.08 and 426.43

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Solution

The fourth proportional to 1,196.11, 1,793.08 and 426.43 is: 639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.11 : 1,793.08 = 426.43 : x
  2. Step 2: Convert to fraction form
    1,196.11/1,793.08 = 426.43/x
  3. Step 3: Cross multiply
    1,196.11x = 1,793.08 × 426.43
  4. Step 4: Simplify right side
    1,196.11x = 764,612.01
  5. Step 5: Solve for x
    x = 764,612.01/1,196.11
  6. Step 6: Final answer
    x = 639.25

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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.