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Finding the Fourth Proportional to 1,121.98, 1,683.84 and 777.73

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Solution

The fourth proportional to 1,121.98, 1,683.84 and 777.73 is: 1,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.98 : 1,683.84 = 777.73 : x
  2. Step 2: Convert to fraction form
    1,121.98/1,683.84 = 777.73/x
  3. Step 3: Cross multiply
    1,121.98x = 1,683.84 × 777.73
  4. Step 4: Simplify right side
    1,121.98x = 1,309,571.59
  5. Step 5: Solve for x
    x = 1,309,571.59/1,121.98
  6. Step 6: Final answer
    x = 1,167.20

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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.