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Finding the Fourth Proportional to 733.61, 1,100.21 and 294.86

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Solution

The fourth proportional to 733.61, 1,100.21 and 294.86 is: 442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.61 : 1,100.21 = 294.86 : x
  2. Step 2: Convert to fraction form
    733.61/1,100.21 = 294.86/x
  3. Step 3: Cross multiply
    733.61x = 1,100.21 × 294.86
  4. Step 4: Simplify right side
    733.61x = 324,400.95
  5. Step 5: Solve for x
    x = 324,400.95/733.61
  6. Step 6: Final answer
    x = 442.20

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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.