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Finding the Fourth Proportional to 1,799.29, 2,699.61 and 704.41

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Solution

The fourth proportional to 1,799.29, 2,699.61 and 704.41 is: 1,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.29 : 2,699.61 = 704.41 : x
  2. Step 2: Convert to fraction form
    1,799.29/2,699.61 = 704.41/x
  3. Step 3: Cross multiply
    1,799.29x = 2,699.61 × 704.41
  4. Step 4: Simplify right side
    1,799.29x = 1,901,632.28
  5. Step 5: Solve for x
    x = 1,901,632.28/1,799.29
  6. Step 6: Final answer
    x = 1,056.88

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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.