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Finding the Fourth Proportional to 731.24, 1,097.01 and 211.23

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Solution

The fourth proportional to 731.24, 1,097.01 and 211.23 is: 316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.24 : 1,097.01 = 211.23 : x
  2. Step 2: Convert to fraction form
    731.24/1,097.01 = 211.23/x
  3. Step 3: Cross multiply
    731.24x = 1,097.01 × 211.23
  4. Step 4: Simplify right side
    731.24x = 231,721.42
  5. Step 5: Solve for x
    x = 231,721.42/731.24
  6. Step 6: Final answer
    x = 316.89

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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.