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Finding the Fourth Proportional to 1,181.44, 1,630.23 and 684.05

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Solution

The fourth proportional to 1,181.44, 1,630.23 and 684.05 is: 943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.44 : 1,630.23 = 684.05 : x
  2. Step 2: Convert to fraction form
    1,181.44/1,630.23 = 684.05/x
  3. Step 3: Cross multiply
    1,181.44x = 1,630.23 × 684.05
  4. Step 4: Simplify right side
    1,181.44x = 1,115,148.12
  5. Step 5: Solve for x
    x = 1,115,148.12/1,181.44
  6. Step 6: Final answer
    x = 943.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.