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Finding the Fourth Proportional to 746.27, 1,120.46 and 541.85

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Solution

The fourth proportional to 746.27, 1,120.46 and 541.85 is: 813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.27 : 1,120.46 = 541.85 : x
  2. Step 2: Convert to fraction form
    746.27/1,120.46 = 541.85/x
  3. Step 3: Cross multiply
    746.27x = 1,120.46 × 541.85
  4. Step 4: Simplify right side
    746.27x = 607,121.34
  5. Step 5: Solve for x
    x = 607,121.34/746.27
  6. Step 6: Final answer
    x = 813.55

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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.