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Finding the Fourth Proportional to 774.97, 1,069.23 and 443.33

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Solution

The fourth proportional to 774.97, 1,069.23 and 443.33 is: 611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.97 : 1,069.23 = 443.33 : x
  2. Step 2: Convert to fraction form
    774.97/1,069.23 = 443.33/x
  3. Step 3: Cross multiply
    774.97x = 1,069.23 × 443.33
  4. Step 4: Simplify right side
    774.97x = 474,021.74
  5. Step 5: Solve for x
    x = 474,021.74/774.97
  6. Step 6: Final answer
    x = 611.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.