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Finding the Fourth Proportional to 1,443.04, 1,991.40 and 779.89

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Solution

The fourth proportional to 1,443.04, 1,991.40 and 779.89 is: 1,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.04 : 1,991.40 = 779.89 : x
  2. Step 2: Convert to fraction form
    1,443.04/1,991.40 = 779.89/x
  3. Step 3: Cross multiply
    1,443.04x = 1,991.40 × 779.89
  4. Step 4: Simplify right side
    1,443.04x = 1,553,072.95
  5. Step 5: Solve for x
    x = 1,553,072.95/1,443.04
  6. Step 6: Final answer
    x = 1,076.25

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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.