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Finding the Fourth Proportional to 731.93, 1,097.78 and 269.64

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Solution

The fourth proportional to 731.93, 1,097.78 and 269.64 is: 404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.93 : 1,097.78 = 269.64 : x
  2. Step 2: Convert to fraction form
    731.93/1,097.78 = 269.64/x
  3. Step 3: Cross multiply
    731.93x = 1,097.78 × 269.64
  4. Step 4: Simplify right side
    731.93x = 296,004.05
  5. Step 5: Solve for x
    x = 296,004.05/731.93
  6. Step 6: Final answer
    x = 404.42

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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.