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Finding the Fourth Proportional to 1,355.97, 2,029.24 and 939.95

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Solution

The fourth proportional to 1,355.97, 2,029.24 and 939.95 is: 1,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.97 : 2,029.24 = 939.95 : x
  2. Step 2: Convert to fraction form
    1,355.97/2,029.24 = 939.95/x
  3. Step 3: Cross multiply
    1,355.97x = 2,029.24 × 939.95
  4. Step 4: Simplify right side
    1,355.97x = 1,907,384.14
  5. Step 5: Solve for x
    x = 1,907,384.14/1,355.97
  6. Step 6: Final answer
    x = 1,406.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.