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Finding the Fourth Proportional to 775.68, 1,162.56 and 288.32

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Solution

The fourth proportional to 775.68, 1,162.56 and 288.32 is: 432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.68 : 1,162.56 = 288.32 : x
  2. Step 2: Convert to fraction form
    775.68/1,162.56 = 288.32/x
  3. Step 3: Cross multiply
    775.68x = 1,162.56 × 288.32
  4. Step 4: Simplify right side
    775.68x = 335,189.30
  5. Step 5: Solve for x
    x = 335,189.30/775.68
  6. Step 6: Final answer
    x = 432.12

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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.