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Finding the Fourth Proportional to 1,280.41, 1,766.65 and 720.77

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Solution

The fourth proportional to 1,280.41, 1,766.65 and 720.77 is: 994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.41 : 1,766.65 = 720.77 : x
  2. Step 2: Convert to fraction form
    1,280.41/1,766.65 = 720.77/x
  3. Step 3: Cross multiply
    1,280.41x = 1,766.65 × 720.77
  4. Step 4: Simplify right side
    1,280.41x = 1,273,348.32
  5. Step 5: Solve for x
    x = 1,273,348.32/1,280.41
  6. Step 6: Final answer
    x = 994.48

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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.