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Finding the Fourth Proportional to 773.64, 1,067.67 and 442.10

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Solution

The fourth proportional to 773.64, 1,067.67 and 442.10 is: 610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.64 : 1,067.67 = 442.10 : x
  2. Step 2: Convert to fraction form
    773.64/1,067.67 = 442.10/x
  3. Step 3: Cross multiply
    773.64x = 1,067.67 × 442.10
  4. Step 4: Simplify right side
    773.64x = 472,019.58
  5. Step 5: Solve for x
    x = 472,019.58/773.64
  6. Step 6: Final answer
    x = 610.13

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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.