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Finding the Fourth Proportional to 1,343.27, 2,014.92 and 369.43

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Solution

The fourth proportional to 1,343.27, 2,014.92 and 369.43 is: 554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.27 : 2,014.92 = 369.43 : x
  2. Step 2: Convert to fraction form
    1,343.27/2,014.92 = 369.43/x
  3. Step 3: Cross multiply
    1,343.27x = 2,014.92 × 369.43
  4. Step 4: Simplify right side
    1,343.27x = 744,366.86
  5. Step 5: Solve for x
    x = 744,366.86/1,343.27
  6. Step 6: Final answer
    x = 554.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.