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Finding the Fourth Proportional to 773.36, 1,067.24 and 424.05

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Solution

The fourth proportional to 773.36, 1,067.24 and 424.05 is: 585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.36 : 1,067.24 = 424.05 : x
  2. Step 2: Convert to fraction form
    773.36/1,067.24 = 424.05/x
  3. Step 3: Cross multiply
    773.36x = 1,067.24 × 424.05
  4. Step 4: Simplify right side
    773.36x = 452,563.12
  5. Step 5: Solve for x
    x = 452,563.12/773.36
  6. Step 6: Final answer
    x = 585.19

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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.