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Finding the Fourth Proportional to 1,179.48, 1,768.38 and 448.44

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Solution

The fourth proportional to 1,179.48, 1,768.38 and 448.44 is: 672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.48 : 1,768.38 = 448.44 : x
  2. Step 2: Convert to fraction form
    1,179.48/1,768.38 = 448.44/x
  3. Step 3: Cross multiply
    1,179.48x = 1,768.38 × 448.44
  4. Step 4: Simplify right side
    1,179.48x = 793,012.33
  5. Step 5: Solve for x
    x = 793,012.33/1,179.48
  6. Step 6: Final answer
    x = 672.34

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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.