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Finding the Fourth Proportional to 746.47, 1,119.75 and 226.46

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Solution

The fourth proportional to 746.47, 1,119.75 and 226.46 is: 339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.47 : 1,119.75 = 226.46 : x
  2. Step 2: Convert to fraction form
    746.47/1,119.75 = 226.46/x
  3. Step 3: Cross multiply
    746.47x = 1,119.75 × 226.46
  4. Step 4: Simplify right side
    746.47x = 253,571.85
  5. Step 5: Solve for x
    x = 253,571.85/746.47
  6. Step 6: Final answer
    x = 339.69

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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.