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Finding the Fourth Proportional to 1,694.98, 2,542.32 and 599.29

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Solution

The fourth proportional to 1,694.98, 2,542.32 and 599.29 is: 898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.98 : 2,542.32 = 599.29 : x
  2. Step 2: Convert to fraction form
    1,694.98/2,542.32 = 599.29/x
  3. Step 3: Cross multiply
    1,694.98x = 2,542.32 × 599.29
  4. Step 4: Simplify right side
    1,694.98x = 1,523,586.95
  5. Step 5: Solve for x
    x = 1,523,586.95/1,694.98
  6. Step 6: Final answer
    x = 898.88

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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.