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Finding the Fourth Proportional to 774.98, 1,067.46 and 553.52

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Solution

The fourth proportional to 774.98, 1,067.46 and 553.52 is: 762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.98 : 1,067.46 = 553.52 : x
  2. Step 2: Convert to fraction form
    774.98/1,067.46 = 553.52/x
  3. Step 3: Cross multiply
    774.98x = 1,067.46 × 553.52
  4. Step 4: Simplify right side
    774.98x = 590,860.46
  5. Step 5: Solve for x
    x = 590,860.46/774.98
  6. Step 6: Final answer
    x = 762.42

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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.