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Finding the Fourth Proportional to 1,302.87, 1,797.91 and 743.37

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Solution

The fourth proportional to 1,302.87, 1,797.91 and 743.37 is: 1,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.87 : 1,797.91 = 743.37 : x
  2. Step 2: Convert to fraction form
    1,302.87/1,797.91 = 743.37/x
  3. Step 3: Cross multiply
    1,302.87x = 1,797.91 × 743.37
  4. Step 4: Simplify right side
    1,302.87x = 1,336,512.36
  5. Step 5: Solve for x
    x = 1,336,512.36/1,302.87
  6. Step 6: Final answer
    x = 1,025.82

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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.