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Finding the Fourth Proportional to 1,376.96, 1,900.22 and 779.58

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Solution

The fourth proportional to 1,376.96, 1,900.22 and 779.58 is: 1,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.96 : 1,900.22 = 779.58 : x
  2. Step 2: Convert to fraction form
    1,376.96/1,900.22 = 779.58/x
  3. Step 3: Cross multiply
    1,376.96x = 1,900.22 × 779.58
  4. Step 4: Simplify right side
    1,376.96x = 1,481,369.61
  5. Step 5: Solve for x
    x = 1,481,369.61/1,376.96
  6. Step 6: Final answer
    x = 1,075.83

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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.