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Finding the Fourth Proportional to 1,222.97, 1,834.61 and 401.33

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Solution

The fourth proportional to 1,222.97, 1,834.61 and 401.33 is: 602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.97 : 1,834.61 = 401.33 : x
  2. Step 2: Convert to fraction form
    1,222.97/1,834.61 = 401.33/x
  3. Step 3: Cross multiply
    1,222.97x = 1,834.61 × 401.33
  4. Step 4: Simplify right side
    1,222.97x = 736,289.62
  5. Step 5: Solve for x
    x = 736,289.62/1,222.97
  6. Step 6: Final answer
    x = 602.05

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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.