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Finding the Fourth Proportional to 773.16, 1,067 and 423.84

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Solution

The fourth proportional to 773.16, 1,067 and 423.84 is: 584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.16 : 1,067 = 423.84 : x
  2. Step 2: Convert to fraction form
    773.16/1,067 = 423.84/x
  3. Step 3: Cross multiply
    773.16x = 1,067 × 423.84
  4. Step 4: Simplify right side
    773.16x = 452,237.28
  5. Step 5: Solve for x
    x = 452,237.28/773.16
  6. Step 6: Final answer
    x = 584.92

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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.