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Finding the Fourth Proportional to 774.88, 1,069.39 and 460.21

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Solution

The fourth proportional to 774.88, 1,069.39 and 460.21 is: 635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.88 : 1,069.39 = 460.21 : x
  2. Step 2: Convert to fraction form
    774.88/1,069.39 = 460.21/x
  3. Step 3: Cross multiply
    774.88x = 1,069.39 × 460.21
  4. Step 4: Simplify right side
    774.88x = 492,143.97
  5. Step 5: Solve for x
    x = 492,143.97/774.88
  6. Step 6: Final answer
    x = 635.12

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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.