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Finding the Fourth Proportional to 1,589.79, 2,383.27 and 809.36

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Solution

The fourth proportional to 1,589.79, 2,383.27 and 809.36 is: 1,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.79 : 2,383.27 = 809.36 : x
  2. Step 2: Convert to fraction form
    1,589.79/2,383.27 = 809.36/x
  3. Step 3: Cross multiply
    1,589.79x = 2,383.27 × 809.36
  4. Step 4: Simplify right side
    1,589.79x = 1,928,923.41
  5. Step 5: Solve for x
    x = 1,928,923.41/1,589.79
  6. Step 6: Final answer
    x = 1,213.32

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1.5x scale

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.