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Finding the Fourth Proportional to 1,371.87, 2,057.87 and 397.98

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Solution

The fourth proportional to 1,371.87, 2,057.87 and 397.98 is: 596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.87 : 2,057.87 = 397.98 : x
  2. Step 2: Convert to fraction form
    1,371.87/2,057.87 = 397.98/x
  3. Step 3: Cross multiply
    1,371.87x = 2,057.87 × 397.98
  4. Step 4: Simplify right side
    1,371.87x = 818,992.10
  5. Step 5: Solve for x
    x = 818,992.10/1,371.87
  6. Step 6: Final answer
    x = 596.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.