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Finding the Fourth Proportional to 1,215.09, 1,677.60 and 796.05

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Solution

The fourth proportional to 1,215.09, 1,677.60 and 796.05 is: 1,099.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.09 : 1,677.60 = 796.05 : x
  2. Step 2: Convert to fraction form
    1,215.09/1,677.60 = 796.05/x
  3. Step 3: Cross multiply
    1,215.09x = 1,677.60 × 796.05
  4. Step 4: Simplify right side
    1,215.09x = 1,335,453.48
  5. Step 5: Solve for x
    x = 1,335,453.48/1,215.09
  6. Step 6: Final answer
    x = 1,099.06

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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.