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Finding the Fourth Proportional to 1,399.02, 1,930.60 and 769.55

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Solution

The fourth proportional to 1,399.02, 1,930.60 and 769.55 is: 1,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.02 : 1,930.60 = 769.55 : x
  2. Step 2: Convert to fraction form
    1,399.02/1,930.60 = 769.55/x
  3. Step 3: Cross multiply
    1,399.02x = 1,930.60 × 769.55
  4. Step 4: Simplify right side
    1,399.02x = 1,485,683.58
  5. Step 5: Solve for x
    x = 1,485,683.58/1,399.02
  6. Step 6: Final answer
    x = 1,061.95

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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.