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Finding the Fourth Proportional to 1,343.21, 2,014.80 and 369.31

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Solution

The fourth proportional to 1,343.21, 2,014.80 and 369.31 is: 553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.21 : 2,014.80 = 369.31 : x
  2. Step 2: Convert to fraction form
    1,343.21/2,014.80 = 369.31/x
  3. Step 3: Cross multiply
    1,343.21x = 2,014.80 × 369.31
  4. Step 4: Simplify right side
    1,343.21x = 744,085.79
  5. Step 5: Solve for x
    x = 744,085.79/1,343.21
  6. Step 6: Final answer
    x = 553.96

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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.