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Finding the Fourth Proportional to 1,162.22, 1,604.61 and 808.02

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Solution

The fourth proportional to 1,162.22, 1,604.61 and 808.02 is: 1,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.22 : 1,604.61 = 808.02 : x
  2. Step 2: Convert to fraction form
    1,162.22/1,604.61 = 808.02/x
  3. Step 3: Cross multiply
    1,162.22x = 1,604.61 × 808.02
  4. Step 4: Simplify right side
    1,162.22x = 1,296,556.97
  5. Step 5: Solve for x
    x = 1,296,556.97/1,162.22
  6. Step 6: Final answer
    x = 1,115.59

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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.