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Finding the Fourth Proportional to 1,304.92, 1,957.46 and 331.03

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Solution

The fourth proportional to 1,304.92, 1,957.46 and 331.03 is: 496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.92 : 1,957.46 = 331.03 : x
  2. Step 2: Convert to fraction form
    1,304.92/1,957.46 = 331.03/x
  3. Step 3: Cross multiply
    1,304.92x = 1,957.46 × 331.03
  4. Step 4: Simplify right side
    1,304.92x = 647,977.98
  5. Step 5: Solve for x
    x = 647,977.98/1,304.92
  6. Step 6: Final answer
    x = 496.57

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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.