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Finding the Fourth Proportional to 834.43, 1,151.72 and 795.37

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Solution

The fourth proportional to 834.43, 1,151.72 and 795.37 is: 1,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.43 : 1,151.72 = 795.37 : x
  2. Step 2: Convert to fraction form
    834.43/1,151.72 = 795.37/x
  3. Step 3: Cross multiply
    834.43x = 1,151.72 × 795.37
  4. Step 4: Simplify right side
    834.43x = 916,043.54
  5. Step 5: Solve for x
    x = 916,043.54/834.43
  6. Step 6: Final answer
    x = 1,097.81

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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.