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Finding the Fourth Proportional to 1,107.46, 1,661.50 and 986.56

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Solution

The fourth proportional to 1,107.46, 1,661.50 and 986.56 is: 1,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.46 : 1,661.50 = 986.56 : x
  2. Step 2: Convert to fraction form
    1,107.46/1,661.50 = 986.56/x
  3. Step 3: Cross multiply
    1,107.46x = 1,661.50 × 986.56
  4. Step 4: Simplify right side
    1,107.46x = 1,639,169.44
  5. Step 5: Solve for x
    x = 1,639,169.44/1,107.46
  6. Step 6: Final answer
    x = 1,480.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.