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Finding the Fourth Proportional to 1,371.09, 2,056.41 and 396.98

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Solution

The fourth proportional to 1,371.09, 2,056.41 and 396.98 is: 595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.09 : 2,056.41 = 396.98 : x
  2. Step 2: Convert to fraction form
    1,371.09/2,056.41 = 396.98/x
  3. Step 3: Cross multiply
    1,371.09x = 2,056.41 × 396.98
  4. Step 4: Simplify right side
    1,371.09x = 816,343.36
  5. Step 5: Solve for x
    x = 816,343.36/1,371.09
  6. Step 6: Final answer
    x = 595.40

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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.