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Finding the Fourth Proportional to 1,215.49, 1,821.99 and 522.33

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Solution

The fourth proportional to 1,215.49, 1,821.99 and 522.33 is: 782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.49 : 1,821.99 = 522.33 : x
  2. Step 2: Convert to fraction form
    1,215.49/1,821.99 = 522.33/x
  3. Step 3: Cross multiply
    1,215.49x = 1,821.99 × 522.33
  4. Step 4: Simplify right side
    1,215.49x = 951,685.41
  5. Step 5: Solve for x
    x = 951,685.41/1,215.49
  6. Step 6: Final answer
    x = 782.96

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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.