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Finding the Fourth Proportional to 775.23, 1,162.49 and 450.69

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Solution

The fourth proportional to 775.23, 1,162.49 and 450.69 is: 675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.23 : 1,162.49 = 450.69 : x
  2. Step 2: Convert to fraction form
    775.23/1,162.49 = 450.69/x
  3. Step 3: Cross multiply
    775.23x = 1,162.49 × 450.69
  4. Step 4: Simplify right side
    775.23x = 523,920.36
  5. Step 5: Solve for x
    x = 523,920.36/775.23
  6. Step 6: Final answer
    x = 675.83

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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.