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Finding the Fourth Proportional to 1,243.43, 1,715.98 and 745.97

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Solution

The fourth proportional to 1,243.43, 1,715.98 and 745.97 is: 1,029.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.43 : 1,715.98 = 745.97 : x
  2. Step 2: Convert to fraction form
    1,243.43/1,715.98 = 745.97/x
  3. Step 3: Cross multiply
    1,243.43x = 1,715.98 × 745.97
  4. Step 4: Simplify right side
    1,243.43x = 1,280,072.03
  5. Step 5: Solve for x
    x = 1,280,072.03/1,243.43
  6. Step 6: Final answer
    x = 1,029.47

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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.