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Finding the Fourth Proportional to 958.25, 1,324.13 and 827.03

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Solution

The fourth proportional to 958.25, 1,324.13 and 827.03 is: 1,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.25 : 1,324.13 = 827.03 : x
  2. Step 2: Convert to fraction form
    958.25/1,324.13 = 827.03/x
  3. Step 3: Cross multiply
    958.25x = 1,324.13 × 827.03
  4. Step 4: Simplify right side
    958.25x = 1,095,094.41
  5. Step 5: Solve for x
    x = 1,095,094.41/958.25
  6. Step 6: Final answer
    x = 1,142.80

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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.