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Finding the Fourth Proportional to 774, 1,067.76 and 479.22

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Solution

The fourth proportional to 774, 1,067.76 and 479.22 is: 661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    774 : 1,067.76 = 479.22 : x
  2. Step 2: Convert to fraction form
    774/1,067.76 = 479.22/x
  3. Step 3: Cross multiply
    774x = 1,067.76 × 479.22
  4. Step 4: Simplify right side
    774x = 511,691.95
  5. Step 5: Solve for x
    x = 511,691.95/774
  6. Step 6: Final answer
    x = 661.10

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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.