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Finding the Fourth Proportional to 1,166.42, 1,749.60 and 550.41

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Solution

The fourth proportional to 1,166.42, 1,749.60 and 550.41 is: 825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.42 : 1,749.60 = 550.41 : x
  2. Step 2: Convert to fraction form
    1,166.42/1,749.60 = 550.41/x
  3. Step 3: Cross multiply
    1,166.42x = 1,749.60 × 550.41
  4. Step 4: Simplify right side
    1,166.42x = 962,997.34
  5. Step 5: Solve for x
    x = 962,997.34/1,166.42
  6. Step 6: Final answer
    x = 825.60

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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.