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Finding the Fourth Proportional to 737.57, 1,105.69 and 275.06

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Solution

The fourth proportional to 737.57, 1,105.69 and 275.06 is: 412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.57 : 1,105.69 = 275.06 : x
  2. Step 2: Convert to fraction form
    737.57/1,105.69 = 275.06/x
  3. Step 3: Cross multiply
    737.57x = 1,105.69 × 275.06
  4. Step 4: Simplify right side
    737.57x = 304,131.09
  5. Step 5: Solve for x
    x = 304,131.09/737.57
  6. Step 6: Final answer
    x = 412.34

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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.