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Finding the Fourth Proportional to 774.87, 1,069.26 and 460.11

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Solution

The fourth proportional to 774.87, 1,069.26 and 460.11 is: 634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.87 : 1,069.26 = 460.11 : x
  2. Step 2: Convert to fraction form
    774.87/1,069.26 = 460.11/x
  3. Step 3: Cross multiply
    774.87x = 1,069.26 × 460.11
  4. Step 4: Simplify right side
    774.87x = 491,977.22
  5. Step 5: Solve for x
    x = 491,977.22/774.87
  6. Step 6: Final answer
    x = 634.92

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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.