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Finding the Fourth Proportional to 773.90, 1,162.20 and 749.60

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Solution

The fourth proportional to 773.90, 1,162.20 and 749.60 is: 1,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.90 : 1,162.20 = 749.60 : x
  2. Step 2: Convert to fraction form
    773.90/1,162.20 = 749.60/x
  3. Step 3: Cross multiply
    773.90x = 1,162.20 × 749.60
  4. Step 4: Simplify right side
    773.90x = 871,185.12
  5. Step 5: Solve for x
    x = 871,185.12/773.90
  6. Step 6: Final answer
    x = 1,125.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.