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Finding the Fourth Proportional to 1,222.35, 1,833.83 and 356.67

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Solution

The fourth proportional to 1,222.35, 1,833.83 and 356.67 is: 535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.35 : 1,833.83 = 356.67 : x
  2. Step 2: Convert to fraction form
    1,222.35/1,833.83 = 356.67/x
  3. Step 3: Cross multiply
    1,222.35x = 1,833.83 × 356.67
  4. Step 4: Simplify right side
    1,222.35x = 654,072.15
  5. Step 5: Solve for x
    x = 654,072.15/1,222.35
  6. Step 6: Final answer
    x = 535.09

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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.