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Finding the Fourth Proportional to 1,285.98, 1,783.46 and 1,205.79

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Solution

The fourth proportional to 1,285.98, 1,783.46 and 1,205.79 is: 1,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.98 : 1,783.46 = 1,205.79 : x
  2. Step 2: Convert to fraction form
    1,285.98/1,783.46 = 1,205.79/x
  3. Step 3: Cross multiply
    1,285.98x = 1,783.46 × 1,205.79
  4. Step 4: Simplify right side
    1,285.98x = 2,150,478.23
  5. Step 5: Solve for x
    x = 2,150,478.23/1,285.98
  6. Step 6: Final answer
    x = 1,672.25

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.