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Finding the Fourth Proportional to 731.77, 1,097.65 and 298.62

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Solution

The fourth proportional to 731.77, 1,097.65 and 298.62 is: 447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.77 : 1,097.65 = 298.62 : x
  2. Step 2: Convert to fraction form
    731.77/1,097.65 = 298.62/x
  3. Step 3: Cross multiply
    731.77x = 1,097.65 × 298.62
  4. Step 4: Simplify right side
    731.77x = 327,778.94
  5. Step 5: Solve for x
    x = 327,778.94/731.77
  6. Step 6: Final answer
    x = 447.93

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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.