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Finding the Fourth Proportional to 843.53, 1,260.28 and 814.82

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Solution

The fourth proportional to 843.53, 1,260.28 and 814.82 is: 1,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.53 : 1,260.28 = 814.82 : x
  2. Step 2: Convert to fraction form
    843.53/1,260.28 = 814.82/x
  3. Step 3: Cross multiply
    843.53x = 1,260.28 × 814.82
  4. Step 4: Simplify right side
    843.53x = 1,026,893.01
  5. Step 5: Solve for x
    x = 1,026,893.01/843.53
  6. Step 6: Final answer
    x = 1,217.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.