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Finding the Fourth Proportional to 1,223.09, 1,833.31 and 667.23

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Solution

The fourth proportional to 1,223.09, 1,833.31 and 667.23 is: 1,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.09 : 1,833.31 = 667.23 : x
  2. Step 2: Convert to fraction form
    1,223.09/1,833.31 = 667.23/x
  3. Step 3: Cross multiply
    1,223.09x = 1,833.31 × 667.23
  4. Step 4: Simplify right side
    1,223.09x = 1,223,239.43
  5. Step 5: Solve for x
    x = 1,223,239.43/1,223.09
  6. Step 6: Final answer
    x = 1,000.12

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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.