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Finding the Fourth Proportional to 1,027.02, 1,540.74 and 378.21

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Solution

The fourth proportional to 1,027.02, 1,540.74 and 378.21 is: 567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.02 : 1,540.74 = 378.21 : x
  2. Step 2: Convert to fraction form
    1,027.02/1,540.74 = 378.21/x
  3. Step 3: Cross multiply
    1,027.02x = 1,540.74 × 378.21
  4. Step 4: Simplify right side
    1,027.02x = 582,723.28
  5. Step 5: Solve for x
    x = 582,723.28/1,027.02
  6. Step 6: Final answer
    x = 567.39

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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.