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Finding the Fourth Proportional to 1,102.43, 1,520.21 and 770.73

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Solution

The fourth proportional to 1,102.43, 1,520.21 and 770.73 is: 1,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.43 : 1,520.21 = 770.73 : x
  2. Step 2: Convert to fraction form
    1,102.43/1,520.21 = 770.73/x
  3. Step 3: Cross multiply
    1,102.43x = 1,520.21 × 770.73
  4. Step 4: Simplify right side
    1,102.43x = 1,171,667.60
  5. Step 5: Solve for x
    x = 1,171,667.60/1,102.43
  6. Step 6: Final answer
    x = 1,062.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.