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Finding the Fourth Proportional to 774.06, 1,067.09 and 478.82

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Solution

The fourth proportional to 774.06, 1,067.09 and 478.82 is: 660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.06 : 1,067.09 = 478.82 : x
  2. Step 2: Convert to fraction form
    774.06/1,067.09 = 478.82/x
  3. Step 3: Cross multiply
    774.06x = 1,067.09 × 478.82
  4. Step 4: Simplify right side
    774.06x = 510,936.30
  5. Step 5: Solve for x
    x = 510,936.30/774.06
  6. Step 6: Final answer
    x = 660.07

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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.