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Finding the Fourth Proportional to 835.22, 1,151.34 and 540.38

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Solution

The fourth proportional to 835.22, 1,151.34 and 540.38 is: 744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.22 : 1,151.34 = 540.38 : x
  2. Step 2: Convert to fraction form
    835.22/1,151.34 = 540.38/x
  3. Step 3: Cross multiply
    835.22x = 1,151.34 × 540.38
  4. Step 4: Simplify right side
    835.22x = 622,161.11
  5. Step 5: Solve for x
    x = 622,161.11/835.22
  6. Step 6: Final answer
    x = 744.91

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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.