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Finding the Fourth Proportional to 730.96, 1,096.54 and 268.68

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Solution

The fourth proportional to 730.96, 1,096.54 and 268.68 is: 403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.96 : 1,096.54 = 268.68 : x
  2. Step 2: Convert to fraction form
    730.96/1,096.54 = 268.68/x
  3. Step 3: Cross multiply
    730.96x = 1,096.54 × 268.68
  4. Step 4: Simplify right side
    730.96x = 294,618.37
  5. Step 5: Solve for x
    x = 294,618.37/730.96
  6. Step 6: Final answer
    x = 403.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.