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Finding the Fourth Proportional to 773.93, 1,067.76 and 442.12

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Solution

The fourth proportional to 773.93, 1,067.76 and 442.12 is: 609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.93 : 1,067.76 = 442.12 : x
  2. Step 2: Convert to fraction form
    773.93/1,067.76 = 442.12/x
  3. Step 3: Cross multiply
    773.93x = 1,067.76 × 442.12
  4. Step 4: Simplify right side
    773.93x = 472,078.05
  5. Step 5: Solve for x
    x = 472,078.05/773.93
  6. Step 6: Final answer
    x = 609.98

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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.