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Finding the Fourth Proportional to 775.23, 1,069.75 and 443.61

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Solution

The fourth proportional to 775.23, 1,069.75 and 443.61 is: 612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.23 : 1,069.75 = 443.61 : x
  2. Step 2: Convert to fraction form
    775.23/1,069.75 = 443.61/x
  3. Step 3: Cross multiply
    775.23x = 1,069.75 × 443.61
  4. Step 4: Simplify right side
    775.23x = 474,546.45
  5. Step 5: Solve for x
    x = 474,546.45/775.23
  6. Step 6: Final answer
    x = 612.14

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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.