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Finding the Fourth Proportional to 774.80, 1,069.32 and 460.22

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Solution

The fourth proportional to 774.80, 1,069.32 and 460.22 is: 635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.80 : 1,069.32 = 460.22 : x
  2. Step 2: Convert to fraction form
    774.80/1,069.32 = 460.22/x
  3. Step 3: Cross multiply
    774.80x = 1,069.32 × 460.22
  4. Step 4: Simplify right side
    774.80x = 492,122.45
  5. Step 5: Solve for x
    x = 492,122.45/774.80
  6. Step 6: Final answer
    x = 635.16

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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.