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Finding the Fourth Proportional to 731.53, 1,097.09 and 211.49

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Solution

The fourth proportional to 731.53, 1,097.09 and 211.49 is: 317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.53 : 1,097.09 = 211.49 : x
  2. Step 2: Convert to fraction form
    731.53/1,097.09 = 211.49/x
  3. Step 3: Cross multiply
    731.53x = 1,097.09 × 211.49
  4. Step 4: Simplify right side
    731.53x = 232,023.56
  5. Step 5: Solve for x
    x = 232,023.56/731.53
  6. Step 6: Final answer
    x = 317.18

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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.