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Finding the Fourth Proportional to 774.82, 1,069.25 and 443.25

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Solution

The fourth proportional to 774.82, 1,069.25 and 443.25 is: 611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.82 : 1,069.25 = 443.25 : x
  2. Step 2: Convert to fraction form
    774.82/1,069.25 = 443.25/x
  3. Step 3: Cross multiply
    774.82x = 1,069.25 × 443.25
  4. Step 4: Simplify right side
    774.82x = 473,945.06
  5. Step 5: Solve for x
    x = 473,945.06/774.82
  6. Step 6: Final answer
    x = 611.68

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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.