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Finding the Fourth Proportional to 1,443.40, 1,991.89 and 780.25

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Solution

The fourth proportional to 1,443.40, 1,991.89 and 780.25 is: 1,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.40 : 1,991.89 = 780.25 : x
  2. Step 2: Convert to fraction form
    1,443.40/1,991.89 = 780.25/x
  3. Step 3: Cross multiply
    1,443.40x = 1,991.89 × 780.25
  4. Step 4: Simplify right side
    1,443.40x = 1,554,172.17
  5. Step 5: Solve for x
    x = 1,554,172.17/1,443.40
  6. Step 6: Final answer
    x = 1,076.74

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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.