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Finding the Fourth Proportional to 1,468.37, 2,198.91 and 738.29

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Solution

The fourth proportional to 1,468.37, 2,198.91 and 738.29 is: 1,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.37 : 2,198.91 = 738.29 : x
  2. Step 2: Convert to fraction form
    1,468.37/2,198.91 = 738.29/x
  3. Step 3: Cross multiply
    1,468.37x = 2,198.91 × 738.29
  4. Step 4: Simplify right side
    1,468.37x = 1,623,433.26
  5. Step 5: Solve for x
    x = 1,623,433.26/1,468.37
  6. Step 6: Final answer
    x = 1,105.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.