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Finding the Fourth Proportional to 1,371.63, 2,057.33 and 538.92

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Solution

The fourth proportional to 1,371.63, 2,057.33 and 538.92 is: 808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.63 : 2,057.33 = 538.92 : x
  2. Step 2: Convert to fraction form
    1,371.63/2,057.33 = 538.92/x
  3. Step 3: Cross multiply
    1,371.63x = 2,057.33 × 538.92
  4. Step 4: Simplify right side
    1,371.63x = 1,108,737.63
  5. Step 5: Solve for x
    x = 1,108,737.63/1,371.63
  6. Step 6: Final answer
    x = 808.33

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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.