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Finding the Fourth Proportional to 1,166.40, 1,749.33 and 550.40

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Solution

The fourth proportional to 1,166.40, 1,749.33 and 550.40 is: 825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.40 : 1,749.33 = 550.40 : x
  2. Step 2: Convert to fraction form
    1,166.40/1,749.33 = 550.40/x
  3. Step 3: Cross multiply
    1,166.40x = 1,749.33 × 550.40
  4. Step 4: Simplify right side
    1,166.40x = 962,822.49
  5. Step 5: Solve for x
    x = 962,822.49/1,166.40
  6. Step 6: Final answer
    x = 825.47

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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.