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Finding the Fourth Proportional to 733.84, 1,100.75 and 247.23

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Solution

The fourth proportional to 733.84, 1,100.75 and 247.23 is: 370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.84 : 1,100.75 = 247.23 : x
  2. Step 2: Convert to fraction form
    733.84/1,100.75 = 247.23/x
  3. Step 3: Cross multiply
    733.84x = 1,100.75 × 247.23
  4. Step 4: Simplify right side
    733.84x = 272,138.42
  5. Step 5: Solve for x
    x = 272,138.42/733.84
  6. Step 6: Final answer
    x = 370.84

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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.