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Finding the Fourth Proportional to 774.98, 1,069.47 and 443.41

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Solution

The fourth proportional to 774.98, 1,069.47 and 443.41 is: 611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.98 : 1,069.47 = 443.41 : x
  2. Step 2: Convert to fraction form
    774.98/1,069.47 = 443.41/x
  3. Step 3: Cross multiply
    774.98x = 1,069.47 × 443.41
  4. Step 4: Simplify right side
    774.98x = 474,211.02
  5. Step 5: Solve for x
    x = 474,211.02/774.98
  6. Step 6: Final answer
    x = 611.90

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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.