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Finding the Fourth Proportional to 1,221.27, 1,832.57 and 810.60

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Solution

The fourth proportional to 1,221.27, 1,832.57 and 810.60 is: 1,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.27 : 1,832.57 = 810.60 : x
  2. Step 2: Convert to fraction form
    1,221.27/1,832.57 = 810.60/x
  3. Step 3: Cross multiply
    1,221.27x = 1,832.57 × 810.60
  4. Step 4: Simplify right side
    1,221.27x = 1,485,481.77
  5. Step 5: Solve for x
    x = 1,485,481.77/1,221.27
  6. Step 6: Final answer
    x = 1,216.34

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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.