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Finding the Fourth Proportional to 960.99, 1,327.14 and 827.94

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Solution

The fourth proportional to 960.99, 1,327.14 and 827.94 is: 1,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.99 : 1,327.14 = 827.94 : x
  2. Step 2: Convert to fraction form
    960.99/1,327.14 = 827.94/x
  3. Step 3: Cross multiply
    960.99x = 1,327.14 × 827.94
  4. Step 4: Simplify right side
    960.99x = 1,098,792.29
  5. Step 5: Solve for x
    x = 1,098,792.29/960.99
  6. Step 6: Final answer
    x = 1,143.40

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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.