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Finding the Fourth Proportional to 845.50, 1,166.52 and 550.66

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Solution

The fourth proportional to 845.50, 1,166.52 and 550.66 is: 759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.50 : 1,166.52 = 550.66 : x
  2. Step 2: Convert to fraction form
    845.50/1,166.52 = 550.66/x
  3. Step 3: Cross multiply
    845.50x = 1,166.52 × 550.66
  4. Step 4: Simplify right side
    845.50x = 642,355.90
  5. Step 5: Solve for x
    x = 642,355.90/845.50
  6. Step 6: Final answer
    x = 759.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.