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Finding the Fourth Proportional to 1,401.41, 1,933.96 and 780.41

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Solution

The fourth proportional to 1,401.41, 1,933.96 and 780.41 is: 1,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.41 : 1,933.96 = 780.41 : x
  2. Step 2: Convert to fraction form
    1,401.41/1,933.96 = 780.41/x
  3. Step 3: Cross multiply
    1,401.41x = 1,933.96 × 780.41
  4. Step 4: Simplify right side
    1,401.41x = 1,509,272.05
  5. Step 5: Solve for x
    x = 1,509,272.05/1,401.41
  6. Step 6: Final answer
    x = 1,076.97

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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.