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Finding the Fourth Proportional to 1,179.33, 1,769.27 and 399.30

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Solution

The fourth proportional to 1,179.33, 1,769.27 and 399.30 is: 599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.33 : 1,769.27 = 399.30 : x
  2. Step 2: Convert to fraction form
    1,179.33/1,769.27 = 399.30/x
  3. Step 3: Cross multiply
    1,179.33x = 1,769.27 × 399.30
  4. Step 4: Simplify right side
    1,179.33x = 706,467.51
  5. Step 5: Solve for x
    x = 706,467.51/1,179.33
  6. Step 6: Final answer
    x = 599.04

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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.