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Finding the Fourth Proportional to 775.22, 1,069.81 and 443.65

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Solution

The fourth proportional to 775.22, 1,069.81 and 443.65 is: 612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.22 : 1,069.81 = 443.65 : x
  2. Step 2: Convert to fraction form
    775.22/1,069.81 = 443.65/x
  3. Step 3: Cross multiply
    775.22x = 1,069.81 × 443.65
  4. Step 4: Simplify right side
    775.22x = 474,622.44
  5. Step 5: Solve for x
    x = 474,622.44/775.22
  6. Step 6: Final answer
    x = 612.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.