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Finding the Fourth Proportional to 1,338.94, 1,847.71 and 779.43

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Solution

The fourth proportional to 1,338.94, 1,847.71 and 779.43 is: 1,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.94 : 1,847.71 = 779.43 : x
  2. Step 2: Convert to fraction form
    1,338.94/1,847.71 = 779.43/x
  3. Step 3: Cross multiply
    1,338.94x = 1,847.71 × 779.43
  4. Step 4: Simplify right side
    1,338.94x = 1,440,156.71
  5. Step 5: Solve for x
    x = 1,440,156.71/1,338.94
  6. Step 6: Final answer
    x = 1,075.60

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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.