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Finding the Fourth Proportional to 775.11, 1,069.42 and 460.24

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Solution

The fourth proportional to 775.11, 1,069.42 and 460.24 is: 634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.11 : 1,069.42 = 460.24 : x
  2. Step 2: Convert to fraction form
    775.11/1,069.42 = 460.24/x
  3. Step 3: Cross multiply
    775.11x = 1,069.42 × 460.24
  4. Step 4: Simplify right side
    775.11x = 492,189.86
  5. Step 5: Solve for x
    x = 492,189.86/775.11
  6. Step 6: Final answer
    x = 634.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.