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Finding the Fourth Proportional to 874.10, 1,205.82 and 811.57

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Solution

The fourth proportional to 874.10, 1,205.82 and 811.57 is: 1,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.10 : 1,205.82 = 811.57 : x
  2. Step 2: Convert to fraction form
    874.10/1,205.82 = 811.57/x
  3. Step 3: Cross multiply
    874.10x = 1,205.82 × 811.57
  4. Step 4: Simplify right side
    874.10x = 978,604.32
  5. Step 5: Solve for x
    x = 978,604.32/874.10
  6. Step 6: Final answer
    x = 1,119.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.