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Finding the Fourth Proportional to 1,339.15, 1,847.96 and 779.59

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Solution

The fourth proportional to 1,339.15, 1,847.96 and 779.59 is: 1,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.15 : 1,847.96 = 779.59 : x
  2. Step 2: Convert to fraction form
    1,339.15/1,847.96 = 779.59/x
  3. Step 3: Cross multiply
    1,339.15x = 1,847.96 × 779.59
  4. Step 4: Simplify right side
    1,339.15x = 1,440,651.14
  5. Step 5: Solve for x
    x = 1,440,651.14/1,339.15
  6. Step 6: Final answer
    x = 1,075.80

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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.