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Finding the Fourth Proportional to 1,085.97, 1,629 and 305.99

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Solution

The fourth proportional to 1,085.97, 1,629 and 305.99 is: 458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.97 : 1,629 = 305.99 : x
  2. Step 2: Convert to fraction form
    1,085.97/1,629 = 305.99/x
  3. Step 3: Cross multiply
    1,085.97x = 1,629 × 305.99
  4. Step 4: Simplify right side
    1,085.97x = 498,449.57
  5. Step 5: Solve for x
    x = 498,449.57/1,085.97
  6. Step 6: Final answer
    x = 458.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.