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Finding the Fourth Proportional to 1,280.23, 1,766.69 and 720.69

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Solution

The fourth proportional to 1,280.23, 1,766.69 and 720.69 is: 994.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.23 : 1,766.69 = 720.69 : x
  2. Step 2: Convert to fraction form
    1,280.23/1,766.69 = 720.69/x
  3. Step 3: Cross multiply
    1,280.23x = 1,766.69 × 720.69
  4. Step 4: Simplify right side
    1,280.23x = 1,273,247.25
  5. Step 5: Solve for x
    x = 1,273,247.25/1,280.23
  6. Step 6: Final answer
    x = 994.55

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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.