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Finding the Fourth Proportional to 1,694.85, 2,542.47 and 599.34

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Solution

The fourth proportional to 1,694.85, 2,542.47 and 599.34 is: 899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.85 : 2,542.47 = 599.34 : x
  2. Step 2: Convert to fraction form
    1,694.85/2,542.47 = 599.34/x
  3. Step 3: Cross multiply
    1,694.85x = 2,542.47 × 599.34
  4. Step 4: Simplify right side
    1,694.85x = 1,523,803.97
  5. Step 5: Solve for x
    x = 1,523,803.97/1,694.85
  6. Step 6: Final answer
    x = 899.08

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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.