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Finding the Fourth Proportional to 1,396.56, 2,094.80 and 574.60

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Solution

The fourth proportional to 1,396.56, 2,094.80 and 574.60 is: 861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.56 : 2,094.80 = 574.60 : x
  2. Step 2: Convert to fraction form
    1,396.56/2,094.80 = 574.60/x
  3. Step 3: Cross multiply
    1,396.56x = 2,094.80 × 574.60
  4. Step 4: Simplify right side
    1,396.56x = 1,203,672.08
  5. Step 5: Solve for x
    x = 1,203,672.08/1,396.56
  6. Step 6: Final answer
    x = 861.88

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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.