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Finding the Fourth Proportional to 734.74, 1,100.49 and 445.57

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Solution

The fourth proportional to 734.74, 1,100.49 and 445.57 is: 667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.74 : 1,100.49 = 445.57 : x
  2. Step 2: Convert to fraction form
    734.74/1,100.49 = 445.57/x
  3. Step 3: Cross multiply
    734.74x = 1,100.49 × 445.57
  4. Step 4: Simplify right side
    734.74x = 490,345.33
  5. Step 5: Solve for x
    x = 490,345.33/734.74
  6. Step 6: Final answer
    x = 667.37

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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.