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Finding the Fourth Proportional to 731.34, 1,096.65 and 298.26

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Solution

The fourth proportional to 731.34, 1,096.65 and 298.26 is: 447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.34 : 1,096.65 = 298.26 : x
  2. Step 2: Convert to fraction form
    731.34/1,096.65 = 298.26/x
  3. Step 3: Cross multiply
    731.34x = 1,096.65 × 298.26
  4. Step 4: Simplify right side
    731.34x = 327,086.83
  5. Step 5: Solve for x
    x = 327,086.83/731.34
  6. Step 6: Final answer
    x = 447.24

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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.