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Finding the Fourth Proportional to 1,310.71, 1,966.43 and 445.09

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Solution

The fourth proportional to 1,310.71, 1,966.43 and 445.09 is: 667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.71 : 1,966.43 = 445.09 : x
  2. Step 2: Convert to fraction form
    1,310.71/1,966.43 = 445.09/x
  3. Step 3: Cross multiply
    1,310.71x = 1,966.43 × 445.09
  4. Step 4: Simplify right side
    1,310.71x = 875,238.33
  5. Step 5: Solve for x
    x = 875,238.33/1,310.71
  6. Step 6: Final answer
    x = 667.76

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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.