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Finding the Fourth Proportional to 1,085.44, 1,616.28 and 1,069.92

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Solution

The fourth proportional to 1,085.44, 1,616.28 and 1,069.92 is: 1,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.44 : 1,616.28 = 1,069.92 : x
  2. Step 2: Convert to fraction form
    1,085.44/1,616.28 = 1,069.92/x
  3. Step 3: Cross multiply
    1,085.44x = 1,616.28 × 1,069.92
  4. Step 4: Simplify right side
    1,085.44x = 1,729,290.30
  5. Step 5: Solve for x
    x = 1,729,290.30/1,085.44
  6. Step 6: Final answer
    x = 1,593.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.