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Finding the Fourth Proportional to 734.64, 1,102.13 and 323.81

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Solution

The fourth proportional to 734.64, 1,102.13 and 323.81 is: 485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.64 : 1,102.13 = 323.81 : x
  2. Step 2: Convert to fraction form
    734.64/1,102.13 = 323.81/x
  3. Step 3: Cross multiply
    734.64x = 1,102.13 × 323.81
  4. Step 4: Simplify right side
    734.64x = 356,873.59
  5. Step 5: Solve for x
    x = 356,873.59/734.64
  6. Step 6: Final answer
    x = 485.78

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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.