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Finding the Fourth Proportional to 960.47, 1,324.71 and 827.91

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Solution

The fourth proportional to 960.47, 1,324.71 and 827.91 is: 1,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.47 : 1,324.71 = 827.91 : x
  2. Step 2: Convert to fraction form
    960.47/1,324.71 = 827.91/x
  3. Step 3: Cross multiply
    960.47x = 1,324.71 × 827.91
  4. Step 4: Simplify right side
    960.47x = 1,096,740.66
  5. Step 5: Solve for x
    x = 1,096,740.66/960.47
  6. Step 6: Final answer
    x = 1,141.88

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