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Finding the Fourth Proportional to 1,723.95, 2,585.79 and 799.27

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Solution

The fourth proportional to 1,723.95, 2,585.79 and 799.27 is: 1,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.95 : 2,585.79 = 799.27 : x
  2. Step 2: Convert to fraction form
    1,723.95/2,585.79 = 799.27/x
  3. Step 3: Cross multiply
    1,723.95x = 2,585.79 × 799.27
  4. Step 4: Simplify right side
    1,723.95x = 2,066,737.91
  5. Step 5: Solve for x
    x = 2,066,737.91/1,723.95
  6. Step 6: Final answer
    x = 1,198.84

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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.