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Finding the Fourth Proportional to 1,092.52, 1,508.24 and 843.28

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Solution

The fourth proportional to 1,092.52, 1,508.24 and 843.28 is: 1,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.52 : 1,508.24 = 843.28 : x
  2. Step 2: Convert to fraction form
    1,092.52/1,508.24 = 843.28/x
  3. Step 3: Cross multiply
    1,092.52x = 1,508.24 × 843.28
  4. Step 4: Simplify right side
    1,092.52x = 1,271,868.63
  5. Step 5: Solve for x
    x = 1,271,868.63/1,092.52
  6. Step 6: Final answer
    x = 1,164.16

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Why These Related Problems?

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