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Finding the Fourth Proportional to 1,694.67, 2,542.02 and 599.05

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Solution

The fourth proportional to 1,694.67, 2,542.02 and 599.05 is: 898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.67 : 2,542.02 = 599.05 : x
  2. Step 2: Convert to fraction form
    1,694.67/2,542.02 = 599.05/x
  3. Step 3: Cross multiply
    1,694.67x = 2,542.02 × 599.05
  4. Step 4: Simplify right side
    1,694.67x = 1,522,797.08
  5. Step 5: Solve for x
    x = 1,522,797.08/1,694.67
  6. Step 6: Final answer
    x = 898.58

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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.