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Finding the Fourth Proportional to 1,645.70, 2,468.94 and 491.44

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Solution

The fourth proportional to 1,645.70, 2,468.94 and 491.44 is: 737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.70 : 2,468.94 = 491.44 : x
  2. Step 2: Convert to fraction form
    1,645.70/2,468.94 = 491.44/x
  3. Step 3: Cross multiply
    1,645.70x = 2,468.94 × 491.44
  4. Step 4: Simplify right side
    1,645.70x = 1,213,335.87
  5. Step 5: Solve for x
    x = 1,213,335.87/1,645.70
  6. Step 6: Final answer
    x = 737.28

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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.