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Finding the Fourth Proportional to 772.27, 1,158.47 and 224.47

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Solution

The fourth proportional to 772.27, 1,158.47 and 224.47 is: 336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.27 : 1,158.47 = 224.47 : x
  2. Step 2: Convert to fraction form
    772.27/1,158.47 = 224.47/x
  3. Step 3: Cross multiply
    772.27x = 1,158.47 × 224.47
  4. Step 4: Simplify right side
    772.27x = 260,042.93
  5. Step 5: Solve for x
    x = 260,042.93/772.27
  6. Step 6: Final answer
    x = 336.73

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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.