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Finding the Fourth Proportional to 733.54, 1,100.84 and 294.54

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Solution

The fourth proportional to 733.54, 1,100.84 and 294.54 is: 442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.54 : 1,100.84 = 294.54 : x
  2. Step 2: Convert to fraction form
    733.54/1,100.84 = 294.54/x
  3. Step 3: Cross multiply
    733.54x = 1,100.84 × 294.54
  4. Step 4: Simplify right side
    733.54x = 324,241.41
  5. Step 5: Solve for x
    x = 324,241.41/733.54
  6. Step 6: Final answer
    x = 442.02

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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.