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Finding the Fourth Proportional to 775.82, 1,162.10 and 450.48

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Solution

The fourth proportional to 775.82, 1,162.10 and 450.48 is: 674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.82 : 1,162.10 = 450.48 : x
  2. Step 2: Convert to fraction form
    775.82/1,162.10 = 450.48/x
  3. Step 3: Cross multiply
    775.82x = 1,162.10 × 450.48
  4. Step 4: Simplify right side
    775.82x = 523,502.81
  5. Step 5: Solve for x
    x = 523,502.81/775.82
  6. Step 6: Final answer
    x = 674.77

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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.