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Finding the Fourth Proportional to 1,280.49, 1,920.83 and 550.07

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Solution

The fourth proportional to 1,280.49, 1,920.83 and 550.07 is: 825.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.49 : 1,920.83 = 550.07 : x
  2. Step 2: Convert to fraction form
    1,280.49/1,920.83 = 550.07/x
  3. Step 3: Cross multiply
    1,280.49x = 1,920.83 × 550.07
  4. Step 4: Simplify right side
    1,280.49x = 1,056,578.60
  5. Step 5: Solve for x
    x = 1,056,578.60/1,280.49
  6. Step 6: Final answer
    x = 825.14

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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.