Home / 1,107.28-1,659.30-985.78

Finding the Fourth Proportional to 1,107.28, 1,659.30 and 985.78

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Solution

The fourth proportional to 1,107.28, 1,659.30 and 985.78 is: 1,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.28 : 1,659.30 = 985.78 : x
  2. Step 2: Convert to fraction form
    1,107.28/1,659.30 = 985.78/x
  3. Step 3: Cross multiply
    1,107.28x = 1,659.30 × 985.78
  4. Step 4: Simplify right side
    1,107.28x = 1,635,704.75
  5. Step 5: Solve for x
    x = 1,635,704.75/1,107.28
  6. Step 6: Final answer
    x = 1,477.23

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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.