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Finding the Fourth Proportional to 867.22, 1,299.94 and 496.56

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Solution

The fourth proportional to 867.22, 1,299.94 and 496.56 is: 744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.22 : 1,299.94 = 496.56 : x
  2. Step 2: Convert to fraction form
    867.22/1,299.94 = 496.56/x
  3. Step 3: Cross multiply
    867.22x = 1,299.94 × 496.56
  4. Step 4: Simplify right side
    867.22x = 645,498.21
  5. Step 5: Solve for x
    x = 645,498.21/867.22
  6. Step 6: Final answer
    x = 744.33

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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.