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Finding the Fourth Proportional to 925.52, 1,382.52 and 743.26

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Solution

The fourth proportional to 925.52, 1,382.52 and 743.26 is: 1,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.52 : 1,382.52 = 743.26 : x
  2. Step 2: Convert to fraction form
    925.52/1,382.52 = 743.26/x
  3. Step 3: Cross multiply
    925.52x = 1,382.52 × 743.26
  4. Step 4: Simplify right side
    925.52x = 1,027,571.82
  5. Step 5: Solve for x
    x = 1,027,571.82/925.52
  6. Step 6: Final answer
    x = 1,110.26

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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.