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Finding the Fourth Proportional to 1,371.74, 2,057.57 and 397.83

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Solution

The fourth proportional to 1,371.74, 2,057.57 and 397.83 is: 596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.74 : 2,057.57 = 397.83 : x
  2. Step 2: Convert to fraction form
    1,371.74/2,057.57 = 397.83/x
  3. Step 3: Cross multiply
    1,371.74x = 2,057.57 × 397.83
  4. Step 4: Simplify right side
    1,371.74x = 818,570.29
  5. Step 5: Solve for x
    x = 818,570.29/1,371.74
  6. Step 6: Final answer
    x = 596.74

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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.