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Finding the Fourth Proportional to 1,166.70, 1,745.01 and 1,135.26

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Solution

The fourth proportional to 1,166.70, 1,745.01 and 1,135.26 is: 1,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.70 : 1,745.01 = 1,135.26 : x
  2. Step 2: Convert to fraction form
    1,166.70/1,745.01 = 1,135.26/x
  3. Step 3: Cross multiply
    1,166.70x = 1,745.01 × 1,135.26
  4. Step 4: Simplify right side
    1,166.70x = 1,981,040.05
  5. Step 5: Solve for x
    x = 1,981,040.05/1,166.70
  6. Step 6: Final answer
    x = 1,697.99

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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.