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Finding the Fourth Proportional to 961.37, 1,325.77 and 795.27

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Solution

The fourth proportional to 961.37, 1,325.77 and 795.27 is: 1,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.37 : 1,325.77 = 795.27 : x
  2. Step 2: Convert to fraction form
    961.37/1,325.77 = 795.27/x
  3. Step 3: Cross multiply
    961.37x = 1,325.77 × 795.27
  4. Step 4: Simplify right side
    961.37x = 1,054,340.63
  5. Step 5: Solve for x
    x = 1,054,340.63/961.37
  6. Step 6: Final answer
    x = 1,096.71

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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.