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Finding the Fourth Proportional to 952.19, 1,311.17 and 873.26

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Solution

The fourth proportional to 952.19, 1,311.17 and 873.26 is: 1,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.19 : 1,311.17 = 873.26 : x
  2. Step 2: Convert to fraction form
    952.19/1,311.17 = 873.26/x
  3. Step 3: Cross multiply
    952.19x = 1,311.17 × 873.26
  4. Step 4: Simplify right side
    952.19x = 1,144,991.22
  5. Step 5: Solve for x
    x = 1,144,991.22/952.19
  6. Step 6: Final answer
    x = 1,202.48

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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.