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Finding the Fourth Proportional to 1,311.69, 1,809.36 and 845.94

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Solution

The fourth proportional to 1,311.69, 1,809.36 and 845.94 is: 1,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.69 : 1,809.36 = 845.94 : x
  2. Step 2: Convert to fraction form
    1,311.69/1,809.36 = 845.94/x
  3. Step 3: Cross multiply
    1,311.69x = 1,809.36 × 845.94
  4. Step 4: Simplify right side
    1,311.69x = 1,530,610.00
  5. Step 5: Solve for x
    x = 1,530,610.00/1,311.69
  6. Step 6: Final answer
    x = 1,166.90

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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.