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Finding the Fourth Proportional to 906.43, 1,359.44 and 443.75

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Solution

The fourth proportional to 906.43, 1,359.44 and 443.75 is: 665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.43 : 1,359.44 = 443.75 : x
  2. Step 2: Convert to fraction form
    906.43/1,359.44 = 443.75/x
  3. Step 3: Cross multiply
    906.43x = 1,359.44 × 443.75
  4. Step 4: Simplify right side
    906.43x = 603,244.15
  5. Step 5: Solve for x
    x = 603,244.15/906.43
  6. Step 6: Final answer
    x = 665.52

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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.