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Finding the Fourth Proportional to 1,443.21, 1,991.64 and 780.06

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Solution

The fourth proportional to 1,443.21, 1,991.64 and 780.06 is: 1,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.21 : 1,991.64 = 780.06 : x
  2. Step 2: Convert to fraction form
    1,443.21/1,991.64 = 780.06/x
  3. Step 3: Cross multiply
    1,443.21x = 1,991.64 × 780.06
  4. Step 4: Simplify right side
    1,443.21x = 1,553,596.75
  5. Step 5: Solve for x
    x = 1,553,596.75/1,443.21
  6. Step 6: Final answer
    x = 1,076.49

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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.