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Finding the Fourth Proportional to 1,212.85, 1,820.22 and 628.84

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Solution

The fourth proportional to 1,212.85, 1,820.22 and 628.84 is: 943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.85 : 1,820.22 = 628.84 : x
  2. Step 2: Convert to fraction form
    1,212.85/1,820.22 = 628.84/x
  3. Step 3: Cross multiply
    1,212.85x = 1,820.22 × 628.84
  4. Step 4: Simplify right side
    1,212.85x = 1,144,627.14
  5. Step 5: Solve for x
    x = 1,144,627.14/1,212.85
  6. Step 6: Final answer
    x = 943.75

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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.