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Finding the Fourth Proportional to 1,280.63, 1,921.25 and 550.22

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Solution

The fourth proportional to 1,280.63, 1,921.25 and 550.22 is: 825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.63 : 1,921.25 = 550.22 : x
  2. Step 2: Convert to fraction form
    1,280.63/1,921.25 = 550.22/x
  3. Step 3: Cross multiply
    1,280.63x = 1,921.25 × 550.22
  4. Step 4: Simplify right side
    1,280.63x = 1,057,101.94
  5. Step 5: Solve for x
    x = 1,057,101.94/1,280.63
  6. Step 6: Final answer
    x = 825.45

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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.