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Finding the Fourth Proportional to 773.92, 1,067.24 and 552.64

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Solution

The fourth proportional to 773.92, 1,067.24 and 552.64 is: 762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.92 : 1,067.24 = 552.64 : x
  2. Step 2: Convert to fraction form
    773.92/1,067.24 = 552.64/x
  3. Step 3: Cross multiply
    773.92x = 1,067.24 × 552.64
  4. Step 4: Simplify right side
    773.92x = 589,799.51
  5. Step 5: Solve for x
    x = 589,799.51/773.92
  6. Step 6: Final answer
    x = 762.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.