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Finding the Fourth Proportional to 1,693.98, 2,540.25 and 598.02

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Solution

The fourth proportional to 1,693.98, 2,540.25 and 598.02 is: 896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.98 : 2,540.25 = 598.02 : x
  2. Step 2: Convert to fraction form
    1,693.98/2,540.25 = 598.02/x
  3. Step 3: Cross multiply
    1,693.98x = 2,540.25 × 598.02
  4. Step 4: Simplify right side
    1,693.98x = 1,519,120.31
  5. Step 5: Solve for x
    x = 1,519,120.31/1,693.98
  6. Step 6: Final answer
    x = 896.78

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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.