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Finding the Fourth Proportional to 1,371.98, 1,893.05 and 782.49

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Solution

The fourth proportional to 1,371.98, 1,893.05 and 782.49 is: 1,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.98 : 1,893.05 = 782.49 : x
  2. Step 2: Convert to fraction form
    1,371.98/1,893.05 = 782.49/x
  3. Step 3: Cross multiply
    1,371.98x = 1,893.05 × 782.49
  4. Step 4: Simplify right side
    1,371.98x = 1,481,288.78
  5. Step 5: Solve for x
    x = 1,481,288.78/1,371.98
  6. Step 6: Final answer
    x = 1,079.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.