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Finding the Fourth Proportional to 1,296.11, 1,944.29 and 418.39

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Solution

The fourth proportional to 1,296.11, 1,944.29 and 418.39 is: 627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.11 : 1,944.29 = 418.39 : x
  2. Step 2: Convert to fraction form
    1,296.11/1,944.29 = 418.39/x
  3. Step 3: Cross multiply
    1,296.11x = 1,944.29 × 418.39
  4. Step 4: Simplify right side
    1,296.11x = 813,471.49
  5. Step 5: Solve for x
    x = 813,471.49/1,296.11
  6. Step 6: Final answer
    x = 627.63

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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.