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Finding the Fourth Proportional to 1,171.35, 1,616.45 and 673.99

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Solution

The fourth proportional to 1,171.35, 1,616.45 and 673.99 is: 930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.35 : 1,616.45 = 673.99 : x
  2. Step 2: Convert to fraction form
    1,171.35/1,616.45 = 673.99/x
  3. Step 3: Cross multiply
    1,171.35x = 1,616.45 × 673.99
  4. Step 4: Simplify right side
    1,171.35x = 1,089,463.72
  5. Step 5: Solve for x
    x = 1,089,463.72/1,171.35
  6. Step 6: Final answer
    x = 930.09

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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.