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Finding the Fourth Proportional to 775.72, 1,163.46 and 288.64

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Solution

The fourth proportional to 775.72, 1,163.46 and 288.64 is: 432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.72 : 1,163.46 = 288.64 : x
  2. Step 2: Convert to fraction form
    775.72/1,163.46 = 288.64/x
  3. Step 3: Cross multiply
    775.72x = 1,163.46 × 288.64
  4. Step 4: Simplify right side
    775.72x = 335,821.09
  5. Step 5: Solve for x
    x = 335,821.09/775.72
  6. Step 6: Final answer
    x = 432.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.