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Finding the Fourth Proportional to 1,180.30, 1,769.77 and 449.41

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Solution

The fourth proportional to 1,180.30, 1,769.77 and 449.41 is: 673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.30 : 1,769.77 = 449.41 : x
  2. Step 2: Convert to fraction form
    1,180.30/1,769.77 = 449.41/x
  3. Step 3: Cross multiply
    1,180.30x = 1,769.77 × 449.41
  4. Step 4: Simplify right side
    1,180.30x = 795,341.24
  5. Step 5: Solve for x
    x = 795,341.24/1,180.30
  6. Step 6: Final answer
    x = 673.85

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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.