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Finding the Fourth Proportional to 775.25, 1,162.80 and 255.23

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Solution

The fourth proportional to 775.25, 1,162.80 and 255.23 is: 382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.25 : 1,162.80 = 255.23 : x
  2. Step 2: Convert to fraction form
    775.25/1,162.80 = 255.23/x
  3. Step 3: Cross multiply
    775.25x = 1,162.80 × 255.23
  4. Step 4: Simplify right side
    775.25x = 296,784.35
  5. Step 5: Solve for x
    x = 296,784.35/775.25
  6. Step 6: Final answer
    x = 382.83

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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.