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Finding the Fourth Proportional to 1,694.59, 2,542.56 and 599.07

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Solution

The fourth proportional to 1,694.59, 2,542.56 and 599.07 is: 898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.59 : 2,542.56 = 599.07 : x
  2. Step 2: Convert to fraction form
    1,694.59/2,542.56 = 599.07/x
  3. Step 3: Cross multiply
    1,694.59x = 2,542.56 × 599.07
  4. Step 4: Simplify right side
    1,694.59x = 1,523,171.42
  5. Step 5: Solve for x
    x = 1,523,171.42/1,694.59
  6. Step 6: Final answer
    x = 898.84

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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.