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Finding the Fourth Proportional to 775.20, 1,069.50 and 460.23

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Solution

The fourth proportional to 775.20, 1,069.50 and 460.23 is: 634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.20 : 1,069.50 = 460.23 : x
  2. Step 2: Convert to fraction form
    775.20/1,069.50 = 460.23/x
  3. Step 3: Cross multiply
    775.20x = 1,069.50 × 460.23
  4. Step 4: Simplify right side
    775.20x = 492,215.99
  5. Step 5: Solve for x
    x = 492,215.99/775.20
  6. Step 6: Final answer
    x = 634.95

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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.