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Finding the Fourth Proportional to 1,204.85, 1,662.53 and 673.71

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Solution

The fourth proportional to 1,204.85, 1,662.53 and 673.71 is: 929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.85 : 1,662.53 = 673.71 : x
  2. Step 2: Convert to fraction form
    1,204.85/1,662.53 = 673.71/x
  3. Step 3: Cross multiply
    1,204.85x = 1,662.53 × 673.71
  4. Step 4: Simplify right side
    1,204.85x = 1,120,059.72
  5. Step 5: Solve for x
    x = 1,120,059.72/1,204.85
  6. Step 6: Final answer
    x = 929.63

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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.