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Finding the Fourth Proportional to 1,371.21, 2,057.01 and 446.47

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Solution

The fourth proportional to 1,371.21, 2,057.01 and 446.47 is: 669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.21 : 2,057.01 = 446.47 : x
  2. Step 2: Convert to fraction form
    1,371.21/2,057.01 = 446.47/x
  3. Step 3: Cross multiply
    1,371.21x = 2,057.01 × 446.47
  4. Step 4: Simplify right side
    1,371.21x = 918,393.25
  5. Step 5: Solve for x
    x = 918,393.25/1,371.21
  6. Step 6: Final answer
    x = 669.77

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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.