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Finding the Fourth Proportional to 1,208.52, 1,813.44 and 797.85

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Solution

The fourth proportional to 1,208.52, 1,813.44 and 797.85 is: 1,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.52 : 1,813.44 = 797.85 : x
  2. Step 2: Convert to fraction form
    1,208.52/1,813.44 = 797.85/x
  3. Step 3: Cross multiply
    1,208.52x = 1,813.44 × 797.85
  4. Step 4: Simplify right side
    1,208.52x = 1,446,853.10
  5. Step 5: Solve for x
    x = 1,446,853.10/1,208.52
  6. Step 6: Final answer
    x = 1,197.21

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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.