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Finding the Fourth Proportional to 818.74, 1,226.22 and 745.84

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Solution

The fourth proportional to 818.74, 1,226.22 and 745.84 is: 1,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.74 : 1,226.22 = 745.84 : x
  2. Step 2: Convert to fraction form
    818.74/1,226.22 = 745.84/x
  3. Step 3: Cross multiply
    818.74x = 1,226.22 × 745.84
  4. Step 4: Simplify right side
    818.74x = 914,563.92
  5. Step 5: Solve for x
    x = 914,563.92/818.74
  6. Step 6: Final answer
    x = 1,117.04

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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.