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Finding the Fourth Proportional to 1,285.31, 1,927.97 and 311.41

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Solution

The fourth proportional to 1,285.31, 1,927.97 and 311.41 is: 467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.31 : 1,927.97 = 311.41 : x
  2. Step 2: Convert to fraction form
    1,285.31/1,927.97 = 311.41/x
  3. Step 3: Cross multiply
    1,285.31x = 1,927.97 × 311.41
  4. Step 4: Simplify right side
    1,285.31x = 600,387.58
  5. Step 5: Solve for x
    x = 600,387.58/1,285.31
  6. Step 6: Final answer
    x = 467.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.