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Finding the Fourth Proportional to 731.56, 1,097.52 and 298.84

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Solution

The fourth proportional to 731.56, 1,097.52 and 298.84 is: 448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.56 : 1,097.52 = 298.84 : x
  2. Step 2: Convert to fraction form
    731.56/1,097.52 = 298.84/x
  3. Step 3: Cross multiply
    731.56x = 1,097.52 × 298.84
  4. Step 4: Simplify right side
    731.56x = 327,982.88
  5. Step 5: Solve for x
    x = 327,982.88/731.56
  6. Step 6: Final answer
    x = 448.33

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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.