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Finding the Fourth Proportional to 1,116.96, 1,540.67 and 674.03

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Solution

The fourth proportional to 1,116.96, 1,540.67 and 674.03 is: 929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.96 : 1,540.67 = 674.03 : x
  2. Step 2: Convert to fraction form
    1,116.96/1,540.67 = 674.03/x
  3. Step 3: Cross multiply
    1,116.96x = 1,540.67 × 674.03
  4. Step 4: Simplify right side
    1,116.96x = 1,038,446.73
  5. Step 5: Solve for x
    x = 1,038,446.73/1,116.96
  6. Step 6: Final answer
    x = 929.71

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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.