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Finding the Fourth Proportional to 1,304.59, 1,956.81 and 427.09

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Solution

The fourth proportional to 1,304.59, 1,956.81 and 427.09 is: 640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.59 : 1,956.81 = 427.09 : x
  2. Step 2: Convert to fraction form
    1,304.59/1,956.81 = 427.09/x
  3. Step 3: Cross multiply
    1,304.59x = 1,956.81 × 427.09
  4. Step 4: Simplify right side
    1,304.59x = 835,733.98
  5. Step 5: Solve for x
    x = 835,733.98/1,304.59
  6. Step 6: Final answer
    x = 640.61

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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.