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Finding the Fourth Proportional to 736.74, 1,105.34 and 412.34

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Solution

The fourth proportional to 736.74, 1,105.34 and 412.34 is: 618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.74 : 1,105.34 = 412.34 : x
  2. Step 2: Convert to fraction form
    736.74/1,105.34 = 412.34/x
  3. Step 3: Cross multiply
    736.74x = 1,105.34 × 412.34
  4. Step 4: Simplify right side
    736.74x = 455,768.31
  5. Step 5: Solve for x
    x = 455,768.31/736.74
  6. Step 6: Final answer
    x = 618.63

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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.