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Finding the Fourth Proportional to 775.09, 1,069.36 and 443.28

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Solution

The fourth proportional to 775.09, 1,069.36 and 443.28 is: 611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.09 : 1,069.36 = 443.28 : x
  2. Step 2: Convert to fraction form
    775.09/1,069.36 = 443.28/x
  3. Step 3: Cross multiply
    775.09x = 1,069.36 × 443.28
  4. Step 4: Simplify right side
    775.09x = 474,025.90
  5. Step 5: Solve for x
    x = 474,025.90/775.09
  6. Step 6: Final answer
    x = 611.58

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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.