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Finding the Fourth Proportional to 1,016.92, 1,522.23 and 786.70

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Solution

The fourth proportional to 1,016.92, 1,522.23 and 786.70 is: 1,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.92 : 1,522.23 = 786.70 : x
  2. Step 2: Convert to fraction form
    1,016.92/1,522.23 = 786.70/x
  3. Step 3: Cross multiply
    1,016.92x = 1,522.23 × 786.70
  4. Step 4: Simplify right side
    1,016.92x = 1,197,538.34
  5. Step 5: Solve for x
    x = 1,197,538.34/1,016.92
  6. Step 6: Final answer
    x = 1,177.61

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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.