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Finding the Fourth Proportional to 1,313.46, 1,971.41 and 664.65

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Solution

The fourth proportional to 1,313.46, 1,971.41 and 664.65 is: 997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.46 : 1,971.41 = 664.65 : x
  2. Step 2: Convert to fraction form
    1,313.46/1,971.41 = 664.65/x
  3. Step 3: Cross multiply
    1,313.46x = 1,971.41 × 664.65
  4. Step 4: Simplify right side
    1,313.46x = 1,310,297.66
  5. Step 5: Solve for x
    x = 1,310,297.66/1,313.46
  6. Step 6: Final answer
    x = 997.59

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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.