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Finding the Fourth Proportional to 1,016.45, 1,401.57 and 834.00

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Solution

The fourth proportional to 1,016.45, 1,401.57 and 834.00 is: 1,149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.45 : 1,401.57 = 834.00 : x
  2. Step 2: Convert to fraction form
    1,016.45/1,401.57 = 834.00/x
  3. Step 3: Cross multiply
    1,016.45x = 1,401.57 × 834.00
  4. Step 4: Simplify right side
    1,016.45x = 1,168,912.11
  5. Step 5: Solve for x
    x = 1,168,912.11/1,016.45
  6. Step 6: Final answer
    x = 1,149.99

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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.