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Finding the Fourth Proportional to 1,371.29, 2,057.85 and 505.60

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Solution

The fourth proportional to 1,371.29, 2,057.85 and 505.60 is: 758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.29 : 2,057.85 = 505.60 : x
  2. Step 2: Convert to fraction form
    1,371.29/2,057.85 = 505.60/x
  3. Step 3: Cross multiply
    1,371.29x = 2,057.85 × 505.60
  4. Step 4: Simplify right side
    1,371.29x = 1,040,448.96
  5. Step 5: Solve for x
    x = 1,040,448.96/1,371.29
  6. Step 6: Final answer
    x = 758.74

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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.