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Finding the Fourth Proportional to 1,723.57, 2,585.36 and 490.99

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Solution

The fourth proportional to 1,723.57, 2,585.36 and 490.99 is: 736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.57 : 2,585.36 = 490.99 : x
  2. Step 2: Convert to fraction form
    1,723.57/2,585.36 = 490.99/x
  3. Step 3: Cross multiply
    1,723.57x = 2,585.36 × 490.99
  4. Step 4: Simplify right side
    1,723.57x = 1,269,380.44
  5. Step 5: Solve for x
    x = 1,269,380.44/1,723.57
  6. Step 6: Final answer
    x = 736.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.