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Finding the Fourth Proportional to 1,416.38, 1,954.62 and 827.33

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Solution

The fourth proportional to 1,416.38, 1,954.62 and 827.33 is: 1,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.38 : 1,954.62 = 827.33 : x
  2. Step 2: Convert to fraction form
    1,416.38/1,954.62 = 827.33/x
  3. Step 3: Cross multiply
    1,416.38x = 1,954.62 × 827.33
  4. Step 4: Simplify right side
    1,416.38x = 1,617,105.99
  5. Step 5: Solve for x
    x = 1,617,105.99/1,416.38
  6. Step 6: Final answer
    x = 1,141.72

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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.