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Finding the Fourth Proportional to 774.85, 1,069.29 and 443.29

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Solution

The fourth proportional to 774.85, 1,069.29 and 443.29 is: 611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.85 : 1,069.29 = 443.29 : x
  2. Step 2: Convert to fraction form
    774.85/1,069.29 = 443.29/x
  3. Step 3: Cross multiply
    774.85x = 1,069.29 × 443.29
  4. Step 4: Simplify right side
    774.85x = 474,000.22
  5. Step 5: Solve for x
    x = 474,000.22/774.85
  6. Step 6: Final answer
    x = 611.74

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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.