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Finding the Fourth Proportional to 734.64, 1,102.26 and 323.76

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Solution

The fourth proportional to 734.64, 1,102.26 and 323.76 is: 485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.64 : 1,102.26 = 323.76 : x
  2. Step 2: Convert to fraction form
    734.64/1,102.26 = 323.76/x
  3. Step 3: Cross multiply
    734.64x = 1,102.26 × 323.76
  4. Step 4: Simplify right side
    734.64x = 356,867.70
  5. Step 5: Solve for x
    x = 356,867.70/734.64
  6. Step 6: Final answer
    x = 485.77

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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.