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Finding the Fourth Proportional to 730.82, 1,096.14 and 203.76

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Solution

The fourth proportional to 730.82, 1,096.14 and 203.76 is: 305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.82 : 1,096.14 = 203.76 : x
  2. Step 2: Convert to fraction form
    730.82/1,096.14 = 203.76/x
  3. Step 3: Cross multiply
    730.82x = 1,096.14 × 203.76
  4. Step 4: Simplify right side
    730.82x = 223,353.60
  5. Step 5: Solve for x
    x = 223,353.60/730.82
  6. Step 6: Final answer
    x = 305.62

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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.