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Finding the Fourth Proportional to 845.96, 1,268.37 and 532.82

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Solution

The fourth proportional to 845.96, 1,268.37 and 532.82 is: 798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.96 : 1,268.37 = 532.82 : x
  2. Step 2: Convert to fraction form
    845.96/1,268.37 = 532.82/x
  3. Step 3: Cross multiply
    845.96x = 1,268.37 × 532.82
  4. Step 4: Simplify right side
    845.96x = 675,806.56
  5. Step 5: Solve for x
    x = 675,806.56/845.96
  6. Step 6: Final answer
    x = 798.87

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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.