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Finding the Fourth Proportional to 1,027.31, 1,541.03 and 377.82

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Solution

The fourth proportional to 1,027.31, 1,541.03 and 377.82 is: 566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.31 : 1,541.03 = 377.82 : x
  2. Step 2: Convert to fraction form
    1,027.31/1,541.03 = 377.82/x
  3. Step 3: Cross multiply
    1,027.31x = 1,541.03 × 377.82
  4. Step 4: Simplify right side
    1,027.31x = 582,230.07
  5. Step 5: Solve for x
    x = 582,230.07/1,027.31
  6. Step 6: Final answer
    x = 566.75

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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.