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Finding the Fourth Proportional to 1,212.06, 1,817.85 and 334.34

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Solution

The fourth proportional to 1,212.06, 1,817.85 and 334.34 is: 501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.06 : 1,817.85 = 334.34 : x
  2. Step 2: Convert to fraction form
    1,212.06/1,817.85 = 334.34/x
  3. Step 3: Cross multiply
    1,212.06x = 1,817.85 × 334.34
  4. Step 4: Simplify right side
    1,212.06x = 607,778.01
  5. Step 5: Solve for x
    x = 607,778.01/1,212.06
  6. Step 6: Final answer
    x = 501.44

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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.