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Finding the Fourth Proportional to 1,092.36, 1,626.18 and 1,085.87

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Solution

The fourth proportional to 1,092.36, 1,626.18 and 1,085.87 is: 1,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.36 : 1,626.18 = 1,085.87 : x
  2. Step 2: Convert to fraction form
    1,092.36/1,626.18 = 1,085.87/x
  3. Step 3: Cross multiply
    1,092.36x = 1,626.18 × 1,085.87
  4. Step 4: Simplify right side
    1,092.36x = 1,765,820.08
  5. Step 5: Solve for x
    x = 1,765,820.08/1,092.36
  6. Step 6: Final answer
    x = 1,616.52

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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.