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Finding the Fourth Proportional to 1,223.83, 1,834.09 and 564.26

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Solution

The fourth proportional to 1,223.83, 1,834.09 and 564.26 is: 845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.83 : 1,834.09 = 564.26 : x
  2. Step 2: Convert to fraction form
    1,223.83/1,834.09 = 564.26/x
  3. Step 3: Cross multiply
    1,223.83x = 1,834.09 × 564.26
  4. Step 4: Simplify right side
    1,223.83x = 1,034,903.62
  5. Step 5: Solve for x
    x = 1,034,903.62/1,223.83
  6. Step 6: Final answer
    x = 845.63

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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.