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Finding the Fourth Proportional to 1,832.92, 2,748.42 and 599.53

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Solution

The fourth proportional to 1,832.92, 2,748.42 and 599.53 is: 898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.92 : 2,748.42 = 599.53 : x
  2. Step 2: Convert to fraction form
    1,832.92/2,748.42 = 599.53/x
  3. Step 3: Cross multiply
    1,832.92x = 2,748.42 × 599.53
  4. Step 4: Simplify right side
    1,832.92x = 1,647,760.24
  5. Step 5: Solve for x
    x = 1,647,760.24/1,832.92
  6. Step 6: Final answer
    x = 898.98

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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.