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Finding the Fourth Proportional to 774.71, 1,069.16 and 443.24

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Solution

The fourth proportional to 774.71, 1,069.16 and 443.24 is: 611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.71 : 1,069.16 = 443.24 : x
  2. Step 2: Convert to fraction form
    774.71/1,069.16 = 443.24/x
  3. Step 3: Cross multiply
    774.71x = 1,069.16 × 443.24
  4. Step 4: Simplify right side
    774.71x = 473,894.48
  5. Step 5: Solve for x
    x = 473,894.48/774.71
  6. Step 6: Final answer
    x = 611.71

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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.