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Finding the Fourth Proportional to 1,468.70, 2,203.84 and 738.26

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Solution

The fourth proportional to 1,468.70, 2,203.84 and 738.26 is: 1,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.70 : 2,203.84 = 738.26 : x
  2. Step 2: Convert to fraction form
    1,468.70/2,203.84 = 738.26/x
  3. Step 3: Cross multiply
    1,468.70x = 2,203.84 × 738.26
  4. Step 4: Simplify right side
    1,468.70x = 1,627,006.92
  5. Step 5: Solve for x
    x = 1,627,006.92/1,468.70
  6. Step 6: Final answer
    x = 1,107.79

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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.