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Finding the Fourth Proportional to 967.29, 1,333.88 and 827.87

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Solution

The fourth proportional to 967.29, 1,333.88 and 827.87 is: 1,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.29 : 1,333.88 = 827.87 : x
  2. Step 2: Convert to fraction form
    967.29/1,333.88 = 827.87/x
  3. Step 3: Cross multiply
    967.29x = 1,333.88 × 827.87
  4. Step 4: Simplify right side
    967.29x = 1,104,279.24
  5. Step 5: Solve for x
    x = 1,104,279.24/967.29
  6. Step 6: Final answer
    x = 1,141.62

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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.