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Finding the Fourth Proportional to 1,213.84, 1,821.11 and 720.70

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Solution

The fourth proportional to 1,213.84, 1,821.11 and 720.70 is: 1,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.84 : 1,821.11 = 720.70 : x
  2. Step 2: Convert to fraction form
    1,213.84/1,821.11 = 720.70/x
  3. Step 3: Cross multiply
    1,213.84x = 1,821.11 × 720.70
  4. Step 4: Simplify right side
    1,213.84x = 1,312,473.98
  5. Step 5: Solve for x
    x = 1,312,473.98/1,213.84
  6. Step 6: Final answer
    x = 1,081.26

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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.