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Finding the Fourth Proportional to 1,223.89, 1,834.79 and 401.94

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Solution

The fourth proportional to 1,223.89, 1,834.79 and 401.94 is: 602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.89 : 1,834.79 = 401.94 : x
  2. Step 2: Convert to fraction form
    1,223.89/1,834.79 = 401.94/x
  3. Step 3: Cross multiply
    1,223.89x = 1,834.79 × 401.94
  4. Step 4: Simplify right side
    1,223.89x = 737,473.48
  5. Step 5: Solve for x
    x = 737,473.48/1,223.89
  6. Step 6: Final answer
    x = 602.57

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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.