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Finding the Fourth Proportional to 1,591.98, 2,388.26 and 496.09

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Solution

The fourth proportional to 1,591.98, 2,388.26 and 496.09 is: 744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.98 : 2,388.26 = 496.09 : x
  2. Step 2: Convert to fraction form
    1,591.98/2,388.26 = 496.09/x
  3. Step 3: Cross multiply
    1,591.98x = 2,388.26 × 496.09
  4. Step 4: Simplify right side
    1,591.98x = 1,184,791.90
  5. Step 5: Solve for x
    x = 1,184,791.90/1,591.98
  6. Step 6: Final answer
    x = 744.23

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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.