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Finding the Fourth Proportional to 1,092.46, 1,508.22 and 843.26

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Solution

The fourth proportional to 1,092.46, 1,508.22 and 843.26 is: 1,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.46 : 1,508.22 = 843.26 : x
  2. Step 2: Convert to fraction form
    1,092.46/1,508.22 = 843.26/x
  3. Step 3: Cross multiply
    1,092.46x = 1,508.22 × 843.26
  4. Step 4: Simplify right side
    1,092.46x = 1,271,821.60
  5. Step 5: Solve for x
    x = 1,271,821.60/1,092.46
  6. Step 6: Final answer
    x = 1,164.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.