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Finding the Fourth Proportional to 1,042.43, 1,563.46 and 311.83

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Solution

The fourth proportional to 1,042.43, 1,563.46 and 311.83 is: 467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.43 : 1,563.46 = 311.83 : x
  2. Step 2: Convert to fraction form
    1,042.43/1,563.46 = 311.83/x
  3. Step 3: Cross multiply
    1,042.43x = 1,563.46 × 311.83
  4. Step 4: Simplify right side
    1,042.43x = 487,529.04
  5. Step 5: Solve for x
    x = 487,529.04/1,042.43
  6. Step 6: Final answer
    x = 467.69

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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.