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Finding the Fourth Proportional to 1,214.67, 1,822.05 and 349.05

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Solution

The fourth proportional to 1,214.67, 1,822.05 and 349.05 is: 523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.67 : 1,822.05 = 349.05 : x
  2. Step 2: Convert to fraction form
    1,214.67/1,822.05 = 349.05/x
  3. Step 3: Cross multiply
    1,214.67x = 1,822.05 × 349.05
  4. Step 4: Simplify right side
    1,214.67x = 635,986.55
  5. Step 5: Solve for x
    x = 635,986.55/1,214.67
  6. Step 6: Final answer
    x = 523.59

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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.