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Finding the Fourth Proportional to 1,092.29, 1,639.04 and 889.38

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Solution

The fourth proportional to 1,092.29, 1,639.04 and 889.38 is: 1,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.29 : 1,639.04 = 889.38 : x
  2. Step 2: Convert to fraction form
    1,092.29/1,639.04 = 889.38/x
  3. Step 3: Cross multiply
    1,092.29x = 1,639.04 × 889.38
  4. Step 4: Simplify right side
    1,092.29x = 1,457,724.95
  5. Step 5: Solve for x
    x = 1,457,724.95/1,092.29
  6. Step 6: Final answer
    x = 1,334.56

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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.