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Finding the Fourth Proportional to 1,107.70, 1,661.85 and 986.80

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Solution

The fourth proportional to 1,107.70, 1,661.85 and 986.80 is: 1,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.70 : 1,661.85 = 986.80 : x
  2. Step 2: Convert to fraction form
    1,107.70/1,661.85 = 986.80/x
  3. Step 3: Cross multiply
    1,107.70x = 1,661.85 × 986.80
  4. Step 4: Simplify right side
    1,107.70x = 1,639,913.58
  5. Step 5: Solve for x
    x = 1,639,913.58/1,107.70
  6. Step 6: Final answer
    x = 1,480.47

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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.