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Finding the Fourth Proportional to 1,380.96, 2,072.07 and 515.34

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Solution

The fourth proportional to 1,380.96, 2,072.07 and 515.34 is: 773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.96 : 2,072.07 = 515.34 : x
  2. Step 2: Convert to fraction form
    1,380.96/2,072.07 = 515.34/x
  3. Step 3: Cross multiply
    1,380.96x = 2,072.07 × 515.34
  4. Step 4: Simplify right side
    1,380.96x = 1,067,820.55
  5. Step 5: Solve for x
    x = 1,067,820.55/1,380.96
  6. Step 6: Final answer
    x = 773.25

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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.