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Finding the Fourth Proportional to 1,119.48, 1,674.31 and 996.95

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Solution

The fourth proportional to 1,119.48, 1,674.31 and 996.95 is: 1,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.48 : 1,674.31 = 996.95 : x
  2. Step 2: Convert to fraction form
    1,119.48/1,674.31 = 996.95/x
  3. Step 3: Cross multiply
    1,119.48x = 1,674.31 × 996.95
  4. Step 4: Simplify right side
    1,119.48x = 1,669,193.74
  5. Step 5: Solve for x
    x = 1,669,193.74/1,119.48
  6. Step 6: Final answer
    x = 1,491.04

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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.