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Finding the Fourth Proportional to 1,202.75, 1,794.82 and 1,073.15

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Solution

The fourth proportional to 1,202.75, 1,794.82 and 1,073.15 is: 1,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.75 : 1,794.82 = 1,073.15 : x
  2. Step 2: Convert to fraction form
    1,202.75/1,794.82 = 1,073.15/x
  3. Step 3: Cross multiply
    1,202.75x = 1,794.82 × 1,073.15
  4. Step 4: Simplify right side
    1,202.75x = 1,926,108.40
  5. Step 5: Solve for x
    x = 1,926,108.40/1,202.75
  6. Step 6: Final answer
    x = 1,601.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.