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Finding the Fourth Proportional to 734.54, 1,100.88 and 323.60

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Solution

The fourth proportional to 734.54, 1,100.88 and 323.60 is: 484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.54 : 1,100.88 = 323.60 : x
  2. Step 2: Convert to fraction form
    734.54/1,100.88 = 323.60/x
  3. Step 3: Cross multiply
    734.54x = 1,100.88 × 323.60
  4. Step 4: Simplify right side
    734.54x = 356,239.26
  5. Step 5: Solve for x
    x = 356,239.26/734.54
  6. Step 6: Final answer
    x = 484.99

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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.