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Finding the Fourth Proportional to 1,280.89, 1,922.10 and 550.45

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Solution

The fourth proportional to 1,280.89, 1,922.10 and 550.45 is: 826.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.89 : 1,922.10 = 550.45 : x
  2. Step 2: Convert to fraction form
    1,280.89/1,922.10 = 550.45/x
  3. Step 3: Cross multiply
    1,280.89x = 1,922.10 × 550.45
  4. Step 4: Simplify right side
    1,280.89x = 1,058,019.95
  5. Step 5: Solve for x
    x = 1,058,019.95/1,280.89
  6. Step 6: Final answer
    x = 826.00

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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.