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Finding the Fourth Proportional to 862.29, 1,293.42 and 496.83

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Solution

The fourth proportional to 862.29, 1,293.42 and 496.83 is: 745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.29 : 1,293.42 = 496.83 : x
  2. Step 2: Convert to fraction form
    862.29/1,293.42 = 496.83/x
  3. Step 3: Cross multiply
    862.29x = 1,293.42 × 496.83
  4. Step 4: Simplify right side
    862.29x = 642,609.86
  5. Step 5: Solve for x
    x = 642,609.86/862.29
  6. Step 6: Final answer
    x = 745.24

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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.