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Finding the Fourth Proportional to 1,399.41, 1,931.09 and 839.75

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Solution

The fourth proportional to 1,399.41, 1,931.09 and 839.75 is: 1,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.41 : 1,931.09 = 839.75 : x
  2. Step 2: Convert to fraction form
    1,399.41/1,931.09 = 839.75/x
  3. Step 3: Cross multiply
    1,399.41x = 1,931.09 × 839.75
  4. Step 4: Simplify right side
    1,399.41x = 1,621,618.97
  5. Step 5: Solve for x
    x = 1,621,618.97/1,399.41
  6. Step 6: Final answer
    x = 1,158.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.