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Finding the Fourth Proportional to 1,344.13, 2,015.41 and 406.80

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Solution

The fourth proportional to 1,344.13, 2,015.41 and 406.80 is: 609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.13 : 2,015.41 = 406.80 : x
  2. Step 2: Convert to fraction form
    1,344.13/2,015.41 = 406.80/x
  3. Step 3: Cross multiply
    1,344.13x = 2,015.41 × 406.80
  4. Step 4: Simplify right side
    1,344.13x = 819,860.21
  5. Step 5: Solve for x
    x = 819,860.21/1,344.13
  6. Step 6: Final answer
    x = 609.96

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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.