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Finding the Fourth Proportional to 1,182.53, 1,629.06 and 827.79

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Solution

The fourth proportional to 1,182.53, 1,629.06 and 827.79 is: 1,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.53 : 1,629.06 = 827.79 : x
  2. Step 2: Convert to fraction form
    1,182.53/1,629.06 = 827.79/x
  3. Step 3: Cross multiply
    1,182.53x = 1,629.06 × 827.79
  4. Step 4: Simplify right side
    1,182.53x = 1,348,519.58
  5. Step 5: Solve for x
    x = 1,348,519.58/1,182.53
  6. Step 6: Final answer
    x = 1,140.37

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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.