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Finding the Fourth Proportional to 1,213.97, 1,821.21 and 392.33

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Solution

The fourth proportional to 1,213.97, 1,821.21 and 392.33 is: 588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.97 : 1,821.21 = 392.33 : x
  2. Step 2: Convert to fraction form
    1,213.97/1,821.21 = 392.33/x
  3. Step 3: Cross multiply
    1,213.97x = 1,821.21 × 392.33
  4. Step 4: Simplify right side
    1,213.97x = 714,515.32
  5. Step 5: Solve for x
    x = 714,515.32/1,213.97
  6. Step 6: Final answer
    x = 588.58

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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.