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Finding the Fourth Proportional to 730.73, 1,097.27 and 484.31

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Solution

The fourth proportional to 730.73, 1,097.27 and 484.31 is: 727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.73 : 1,097.27 = 484.31 : x
  2. Step 2: Convert to fraction form
    730.73/1,097.27 = 484.31/x
  3. Step 3: Cross multiply
    730.73x = 1,097.27 × 484.31
  4. Step 4: Simplify right side
    730.73x = 531,418.83
  5. Step 5: Solve for x
    x = 531,418.83/730.73
  6. Step 6: Final answer
    x = 727.24

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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.