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Finding the Fourth Proportional to 1,396.26, 2,094.48 and 574.52

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Solution

The fourth proportional to 1,396.26, 2,094.48 and 574.52 is: 861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.26 : 2,094.48 = 574.52 : x
  2. Step 2: Convert to fraction form
    1,396.26/2,094.48 = 574.52/x
  3. Step 3: Cross multiply
    1,396.26x = 2,094.48 × 574.52
  4. Step 4: Simplify right side
    1,396.26x = 1,203,310.18
  5. Step 5: Solve for x
    x = 1,203,310.18/1,396.26
  6. Step 6: Final answer
    x = 861.81

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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.