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Finding the Fourth Proportional to 1,169.14, 1,754.58 and 798.08

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Solution

The fourth proportional to 1,169.14, 1,754.58 and 798.08 is: 1,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.14 : 1,754.58 = 798.08 : x
  2. Step 2: Convert to fraction form
    1,169.14/1,754.58 = 798.08/x
  3. Step 3: Cross multiply
    1,169.14x = 1,754.58 × 798.08
  4. Step 4: Simplify right side
    1,169.14x = 1,400,295.21
  5. Step 5: Solve for x
    x = 1,400,295.21/1,169.14
  6. Step 6: Final answer
    x = 1,197.71

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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.