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Finding the Fourth Proportional to 774.41, 1,069.11 and 512.88

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Solution

The fourth proportional to 774.41, 1,069.11 and 512.88 is: 708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.41 : 1,069.11 = 512.88 : x
  2. Step 2: Convert to fraction form
    774.41/1,069.11 = 512.88/x
  3. Step 3: Cross multiply
    774.41x = 1,069.11 × 512.88
  4. Step 4: Simplify right side
    774.41x = 548,325.14
  5. Step 5: Solve for x
    x = 548,325.14/774.41
  6. Step 6: Final answer
    x = 708.06

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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.