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Finding the Fourth Proportional to 1,299.60, 1,792.77 and 827.24

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Solution

The fourth proportional to 1,299.60, 1,792.77 and 827.24 is: 1,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.60 : 1,792.77 = 827.24 : x
  2. Step 2: Convert to fraction form
    1,299.60/1,792.77 = 827.24/x
  3. Step 3: Cross multiply
    1,299.60x = 1,792.77 × 827.24
  4. Step 4: Simplify right side
    1,299.60x = 1,483,042.09
  5. Step 5: Solve for x
    x = 1,483,042.09/1,299.60
  6. Step 6: Final answer
    x = 1,141.15

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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.