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Finding the Fourth Proportional to 1,222.45, 1,684.67 and 890.26

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Solution

The fourth proportional to 1,222.45, 1,684.67 and 890.26 is: 1,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.45 : 1,684.67 = 890.26 : x
  2. Step 2: Convert to fraction form
    1,222.45/1,684.67 = 890.26/x
  3. Step 3: Cross multiply
    1,222.45x = 1,684.67 × 890.26
  4. Step 4: Simplify right side
    1,222.45x = 1,499,785.65
  5. Step 5: Solve for x
    x = 1,499,785.65/1,222.45
  6. Step 6: Final answer
    x = 1,226.87

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