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Finding the Fourth Proportional to 1,285.80, 1,777.86 and 1,121.78

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Solution

The fourth proportional to 1,285.80, 1,777.86 and 1,121.78 is: 1,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.80 : 1,777.86 = 1,121.78 : x
  2. Step 2: Convert to fraction form
    1,285.80/1,777.86 = 1,121.78/x
  3. Step 3: Cross multiply
    1,285.80x = 1,777.86 × 1,121.78
  4. Step 4: Simplify right side
    1,285.80x = 1,994,367.79
  5. Step 5: Solve for x
    x = 1,994,367.79/1,285.80
  6. Step 6: Final answer
    x = 1,551.07

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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.