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Finding the Fourth Proportional to 1,165.00, 1,747.50 and 798.68

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Solution

The fourth proportional to 1,165.00, 1,747.50 and 798.68 is: 1,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.00 : 1,747.50 = 798.68 : x
  2. Step 2: Convert to fraction form
    1,165.00/1,747.50 = 798.68/x
  3. Step 3: Cross multiply
    1,165.00x = 1,747.50 × 798.68
  4. Step 4: Simplify right side
    1,165.00x = 1,395,687.09
  5. Step 5: Solve for x
    x = 1,395,687.09/1,165.00
  6. Step 6: Final answer
    x = 1,198.02

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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.