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Finding the Fourth Proportional to 1,796.58, 2,694.97 and 498.05

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Solution

The fourth proportional to 1,796.58, 2,694.97 and 498.05 is: 747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.58 : 2,694.97 = 498.05 : x
  2. Step 2: Convert to fraction form
    1,796.58/2,694.97 = 498.05/x
  3. Step 3: Cross multiply
    1,796.58x = 2,694.97 × 498.05
  4. Step 4: Simplify right side
    1,796.58x = 1,342,227.06
  5. Step 5: Solve for x
    x = 1,342,227.06/1,796.58
  6. Step 6: Final answer
    x = 747.10

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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.