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Finding the Fourth Proportional to 731.78, 1,097.19 and 298.43

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Solution

The fourth proportional to 731.78, 1,097.19 and 298.43 is: 447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.78 : 1,097.19 = 298.43 : x
  2. Step 2: Convert to fraction form
    731.78/1,097.19 = 298.43/x
  3. Step 3: Cross multiply
    731.78x = 1,097.19 × 298.43
  4. Step 4: Simplify right side
    731.78x = 327,434.41
  5. Step 5: Solve for x
    x = 327,434.41/731.78
  6. Step 6: Final answer
    x = 447.45

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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.