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Finding the Fourth Proportional to 733.25, 1,105.04 and 612.66

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Solution

The fourth proportional to 733.25, 1,105.04 and 612.66 is: 923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.25 : 1,105.04 = 612.66 : x
  2. Step 2: Convert to fraction form
    733.25/1,105.04 = 612.66/x
  3. Step 3: Cross multiply
    733.25x = 1,105.04 × 612.66
  4. Step 4: Simplify right side
    733.25x = 677,019.48
  5. Step 5: Solve for x
    x = 677,019.48/733.25
  6. Step 6: Final answer
    x = 923.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.