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Finding the Fourth Proportional to 1,243.40, 1,715.97 and 746.31

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Solution

The fourth proportional to 1,243.40, 1,715.97 and 746.31 is: 1,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.40 : 1,715.97 = 746.31 : x
  2. Step 2: Convert to fraction form
    1,243.40/1,715.97 = 746.31/x
  3. Step 3: Cross multiply
    1,243.40x = 1,715.97 × 746.31
  4. Step 4: Simplify right side
    1,243.40x = 1,280,645.57
  5. Step 5: Solve for x
    x = 1,280,645.57/1,243.40
  6. Step 6: Final answer
    x = 1,029.96

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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.