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Finding the Fourth Proportional to 1,092.87, 1,506.48 and 827.37

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Solution

The fourth proportional to 1,092.87, 1,506.48 and 827.37 is: 1,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.87 : 1,506.48 = 827.37 : x
  2. Step 2: Convert to fraction form
    1,092.87/1,506.48 = 827.37/x
  3. Step 3: Cross multiply
    1,092.87x = 1,506.48 × 827.37
  4. Step 4: Simplify right side
    1,092.87x = 1,246,416.36
  5. Step 5: Solve for x
    x = 1,246,416.36/1,092.87
  6. Step 6: Final answer
    x = 1,140.50

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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.