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Finding the Fourth Proportional to 733.82, 1,100.88 and 246.74

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Solution

The fourth proportional to 733.82, 1,100.88 and 246.74 is: 370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.82 : 1,100.88 = 246.74 : x
  2. Step 2: Convert to fraction form
    733.82/1,100.88 = 246.74/x
  3. Step 3: Cross multiply
    733.82x = 1,100.88 × 246.74
  4. Step 4: Simplify right side
    733.82x = 271,625.63
  5. Step 5: Solve for x
    x = 271,625.63/733.82
  6. Step 6: Final answer
    x = 370.16

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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.