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Finding the Fourth Proportional to 745.82, 1,118.73 and 225.82

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Solution

The fourth proportional to 745.82, 1,118.73 and 225.82 is: 338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.82 : 1,118.73 = 225.82 : x
  2. Step 2: Convert to fraction form
    745.82/1,118.73 = 225.82/x
  3. Step 3: Cross multiply
    745.82x = 1,118.73 × 225.82
  4. Step 4: Simplify right side
    745.82x = 252,626.01
  5. Step 5: Solve for x
    x = 252,626.01/745.82
  6. Step 6: Final answer
    x = 338.72

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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.