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Finding the Fourth Proportional to 1,368.69, 1,888.83 and 779.21

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Solution

The fourth proportional to 1,368.69, 1,888.83 and 779.21 is: 1,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.69 : 1,888.83 = 779.21 : x
  2. Step 2: Convert to fraction form
    1,368.69/1,888.83 = 779.21/x
  3. Step 3: Cross multiply
    1,368.69x = 1,888.83 × 779.21
  4. Step 4: Simplify right side
    1,368.69x = 1,471,795.22
  5. Step 5: Solve for x
    x = 1,471,795.22/1,368.69
  6. Step 6: Final answer
    x = 1,075.33

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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.