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Finding the Fourth Proportional to 774.02, 1,067.87 and 442.22

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Solution

The fourth proportional to 774.02, 1,067.87 and 442.22 is: 610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.02 : 1,067.87 = 442.22 : x
  2. Step 2: Convert to fraction form
    774.02/1,067.87 = 442.22/x
  3. Step 3: Cross multiply
    774.02x = 1,067.87 × 442.22
  4. Step 4: Simplify right side
    774.02x = 472,225.92
  5. Step 5: Solve for x
    x = 472,225.92/774.02
  6. Step 6: Final answer
    x = 610.10

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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.