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Finding the Fourth Proportional to 835.91, 1,150.87 and 725.34

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Solution

The fourth proportional to 835.91, 1,150.87 and 725.34 is: 998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.91 : 1,150.87 = 725.34 : x
  2. Step 2: Convert to fraction form
    835.91/1,150.87 = 725.34/x
  3. Step 3: Cross multiply
    835.91x = 1,150.87 × 725.34
  4. Step 4: Simplify right side
    835.91x = 834,772.05
  5. Step 5: Solve for x
    x = 834,772.05/835.91
  6. Step 6: Final answer
    x = 998.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.