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Finding the Fourth Proportional to 1,042.53, 1,563.31 and 311.97

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Solution

The fourth proportional to 1,042.53, 1,563.31 and 311.97 is: 467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.53 : 1,563.31 = 311.97 : x
  2. Step 2: Convert to fraction form
    1,042.53/1,563.31 = 311.97/x
  3. Step 3: Cross multiply
    1,042.53x = 1,563.31 × 311.97
  4. Step 4: Simplify right side
    1,042.53x = 487,705.82
  5. Step 5: Solve for x
    x = 487,705.82/1,042.53
  6. Step 6: Final answer
    x = 467.81

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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.