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Finding the Fourth Proportional to 1,591.50, 2,388.21 and 679.50

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Solution

The fourth proportional to 1,591.50, 2,388.21 and 679.50 is: 1,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.50 : 2,388.21 = 679.50 : x
  2. Step 2: Convert to fraction form
    1,591.50/2,388.21 = 679.50/x
  3. Step 3: Cross multiply
    1,591.50x = 2,388.21 × 679.50
  4. Step 4: Simplify right side
    1,591.50x = 1,622,788.70
  5. Step 5: Solve for x
    x = 1,622,788.70/1,591.50
  6. Step 6: Final answer
    x = 1,019.66

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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.