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Finding the Fourth Proportional to 1,226.85, 1,837.96 and 610.22

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Solution

The fourth proportional to 1,226.85, 1,837.96 and 610.22 is: 914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.85 : 1,837.96 = 610.22 : x
  2. Step 2: Convert to fraction form
    1,226.85/1,837.96 = 610.22/x
  3. Step 3: Cross multiply
    1,226.85x = 1,837.96 × 610.22
  4. Step 4: Simplify right side
    1,226.85x = 1,121,559.95
  5. Step 5: Solve for x
    x = 1,121,559.95/1,226.85
  6. Step 6: Final answer
    x = 914.18

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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.