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Finding the Fourth Proportional to 745.57, 1,120.17 and 727.33

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Solution

The fourth proportional to 745.57, 1,120.17 and 727.33 is: 1,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.57 : 1,120.17 = 727.33 : x
  2. Step 2: Convert to fraction form
    745.57/1,120.17 = 727.33/x
  3. Step 3: Cross multiply
    745.57x = 1,120.17 × 727.33
  4. Step 4: Simplify right side
    745.57x = 814,733.25
  5. Step 5: Solve for x
    x = 814,733.25/745.57
  6. Step 6: Final answer
    x = 1,092.77

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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.