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Finding the Fourth Proportional to 746.54, 1,120.20 and 361.79

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Solution

The fourth proportional to 746.54, 1,120.20 and 361.79 is: 542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.54 : 1,120.20 = 361.79 : x
  2. Step 2: Convert to fraction form
    746.54/1,120.20 = 361.79/x
  3. Step 3: Cross multiply
    746.54x = 1,120.20 × 361.79
  4. Step 4: Simplify right side
    746.54x = 405,271.56
  5. Step 5: Solve for x
    x = 405,271.56/746.54
  6. Step 6: Final answer
    x = 542.87

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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.