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Finding the Fourth Proportional to 811.92, 1,216.56 and 550.92

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Solution

The fourth proportional to 811.92, 1,216.56 and 550.92 is: 825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.92 : 1,216.56 = 550.92 : x
  2. Step 2: Convert to fraction form
    811.92/1,216.56 = 550.92/x
  3. Step 3: Cross multiply
    811.92x = 1,216.56 × 550.92
  4. Step 4: Simplify right side
    811.92x = 670,227.24
  5. Step 5: Solve for x
    x = 670,227.24/811.92
  6. Step 6: Final answer
    x = 825.48

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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.