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Finding the Fourth Proportional to 775.33, 1,162.84 and 496.86

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Solution

The fourth proportional to 775.33, 1,162.84 and 496.86 is: 745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.33 : 1,162.84 = 496.86 : x
  2. Step 2: Convert to fraction form
    775.33/1,162.84 = 496.86/x
  3. Step 3: Cross multiply
    775.33x = 1,162.84 × 496.86
  4. Step 4: Simplify right side
    775.33x = 577,768.68
  5. Step 5: Solve for x
    x = 577,768.68/775.33
  6. Step 6: Final answer
    x = 745.19

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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.