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Finding the Fourth Proportional to 1,243.29, 1,716.42 and 823.50

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Solution

The fourth proportional to 1,243.29, 1,716.42 and 823.50 is: 1,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.29 : 1,716.42 = 823.50 : x
  2. Step 2: Convert to fraction form
    1,243.29/1,716.42 = 823.50/x
  3. Step 3: Cross multiply
    1,243.29x = 1,716.42 × 823.50
  4. Step 4: Simplify right side
    1,243.29x = 1,413,471.87
  5. Step 5: Solve for x
    x = 1,413,471.87/1,243.29
  6. Step 6: Final answer
    x = 1,136.88

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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.