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Finding the Fourth Proportional to 1,035.89, 1,418.64 and 1,022.22

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Solution

The fourth proportional to 1,035.89, 1,418.64 and 1,022.22 is: 1,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.89 : 1,418.64 = 1,022.22 : x
  2. Step 2: Convert to fraction form
    1,035.89/1,418.64 = 1,022.22/x
  3. Step 3: Cross multiply
    1,035.89x = 1,418.64 × 1,022.22
  4. Step 4: Simplify right side
    1,035.89x = 1,450,161.22
  5. Step 5: Solve for x
    x = 1,450,161.22/1,035.89
  6. Step 6: Final answer
    x = 1,399.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.