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Finding the Fourth Proportional to 1,092.99, 1,639.49 and 271.28

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Solution

The fourth proportional to 1,092.99, 1,639.49 and 271.28 is: 406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.99 : 1,639.49 = 271.28 : x
  2. Step 2: Convert to fraction form
    1,092.99/1,639.49 = 271.28/x
  3. Step 3: Cross multiply
    1,092.99x = 1,639.49 × 271.28
  4. Step 4: Simplify right side
    1,092.99x = 444,751.29
  5. Step 5: Solve for x
    x = 444,751.29/1,092.99
  6. Step 6: Final answer
    x = 406.91

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Why These Related Problems?

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