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Finding the Fourth Proportional to 1,168.24, 1,609.80 and 1,163.68

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Solution

The fourth proportional to 1,168.24, 1,609.80 and 1,163.68 is: 1,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.24 : 1,609.80 = 1,163.68 : x
  2. Step 2: Convert to fraction form
    1,168.24/1,609.80 = 1,163.68/x
  3. Step 3: Cross multiply
    1,168.24x = 1,609.80 × 1,163.68
  4. Step 4: Simplify right side
    1,168.24x = 1,873,292.06
  5. Step 5: Solve for x
    x = 1,873,292.06/1,168.24
  6. Step 6: Final answer
    x = 1,603.52

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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.