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Finding the Fourth Proportional to 906.33, 1,359.46 and 412.43

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Solution

The fourth proportional to 906.33, 1,359.46 and 412.43 is: 618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.33 : 1,359.46 = 412.43 : x
  2. Step 2: Convert to fraction form
    906.33/1,359.46 = 412.43/x
  3. Step 3: Cross multiply
    906.33x = 1,359.46 × 412.43
  4. Step 4: Simplify right side
    906.33x = 560,682.09
  5. Step 5: Solve for x
    x = 560,682.09/906.33
  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.