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Finding the Fourth Proportional to 1,540.95, 2,311.79 and 445.29

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Solution

The fourth proportional to 1,540.95, 2,311.79 and 445.29 is: 668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.95 : 2,311.79 = 445.29 : x
  2. Step 2: Convert to fraction form
    1,540.95/2,311.79 = 445.29/x
  3. Step 3: Cross multiply
    1,540.95x = 2,311.79 × 445.29
  4. Step 4: Simplify right side
    1,540.95x = 1,029,416.97
  5. Step 5: Solve for x
    x = 1,029,416.97/1,540.95
  6. Step 6: Final answer
    x = 668.04

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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.