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Finding the Fourth Proportional to 852.63, 1,279.24 and 441.96

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Solution

The fourth proportional to 852.63, 1,279.24 and 441.96 is: 663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.63 : 1,279.24 = 441.96 : x
  2. Step 2: Convert to fraction form
    852.63/1,279.24 = 441.96/x
  3. Step 3: Cross multiply
    852.63x = 1,279.24 × 441.96
  4. Step 4: Simplify right side
    852.63x = 565,369.49
  5. Step 5: Solve for x
    x = 565,369.49/852.63
  6. Step 6: Final answer
    x = 663.09

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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.