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Finding the Fourth Proportional to 774.84, 1,069.29 and 460.32

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Solution

The fourth proportional to 774.84, 1,069.29 and 460.32 is: 635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.84 : 1,069.29 = 460.32 : x
  2. Step 2: Convert to fraction form
    774.84/1,069.29 = 460.32/x
  3. Step 3: Cross multiply
    774.84x = 1,069.29 × 460.32
  4. Step 4: Simplify right side
    774.84x = 492,215.57
  5. Step 5: Solve for x
    x = 492,215.57/774.84
  6. Step 6: Final answer
    x = 635.25

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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.