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Finding the Fourth Proportional to 1,379.57, 2,069.38 and 546.59

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Solution

The fourth proportional to 1,379.57, 2,069.38 and 546.59 is: 819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.57 : 2,069.38 = 546.59 : x
  2. Step 2: Convert to fraction form
    1,379.57/2,069.38 = 546.59/x
  3. Step 3: Cross multiply
    1,379.57x = 2,069.38 × 546.59
  4. Step 4: Simplify right side
    1,379.57x = 1,131,102.41
  5. Step 5: Solve for x
    x = 1,131,102.41/1,379.57
  6. Step 6: Final answer
    x = 819.90

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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.