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Finding the Fourth Proportional to 731.76, 1,097.47 and 211.64

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Solution

The fourth proportional to 731.76, 1,097.47 and 211.64 is: 317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.76 : 1,097.47 = 211.64 : x
  2. Step 2: Convert to fraction form
    731.76/1,097.47 = 211.64/x
  3. Step 3: Cross multiply
    731.76x = 1,097.47 × 211.64
  4. Step 4: Simplify right side
    731.76x = 232,271.56
  5. Step 5: Solve for x
    x = 232,271.56/731.76
  6. Step 6: Final answer
    x = 317.42

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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.