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Finding the Fourth Proportional to 775.25, 1,161.66 and 659.22

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Solution

The fourth proportional to 775.25, 1,161.66 and 659.22 is: 987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.25 : 1,161.66 = 659.22 : x
  2. Step 2: Convert to fraction form
    775.25/1,161.66 = 659.22/x
  3. Step 3: Cross multiply
    775.25x = 1,161.66 × 659.22
  4. Step 4: Simplify right side
    775.25x = 765,781.59
  5. Step 5: Solve for x
    x = 765,781.59/775.25
  6. Step 6: Final answer
    x = 987.79

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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.