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Finding the Fourth Proportional to 1,076.79, 1,486.68 and 827.66

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Solution

The fourth proportional to 1,076.79, 1,486.68 and 827.66 is: 1,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.79 : 1,486.68 = 827.66 : x
  2. Step 2: Convert to fraction form
    1,076.79/1,486.68 = 827.66/x
  3. Step 3: Cross multiply
    1,076.79x = 1,486.68 × 827.66
  4. Step 4: Simplify right side
    1,076.79x = 1,230,458.14
  5. Step 5: Solve for x
    x = 1,230,458.14/1,076.79
  6. Step 6: Final answer
    x = 1,142.71

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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.