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Finding the Fourth Proportional to 775.44, 1,162.45 and 288.16

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Solution

The fourth proportional to 775.44, 1,162.45 and 288.16 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.44 : 1,162.45 = 288.16 : x
  2. Step 2: Convert to fraction form
    775.44/1,162.45 = 288.16/x
  3. Step 3: Cross multiply
    775.44x = 1,162.45 × 288.16
  4. Step 4: Simplify right side
    775.44x = 334,969.05
  5. Step 5: Solve for x
    x = 334,969.05/775.44
  6. Step 6: Final answer
    x = 431.97

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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.