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Finding the Fourth Proportional to 1,723.28, 2,582.94 and 796.90

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Solution

The fourth proportional to 1,723.28, 2,582.94 and 796.90 is: 1,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.28 : 2,582.94 = 796.90 : x
  2. Step 2: Convert to fraction form
    1,723.28/2,582.94 = 796.90/x
  3. Step 3: Cross multiply
    1,723.28x = 2,582.94 × 796.90
  4. Step 4: Simplify right side
    1,723.28x = 2,058,344.89
  5. Step 5: Solve for x
    x = 2,058,344.89/1,723.28
  6. Step 6: Final answer
    x = 1,194.43

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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.