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Finding the Fourth Proportional to 1,343.25, 2,014.20 and 650.43

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Solution

The fourth proportional to 1,343.25, 2,014.20 and 650.43 is: 975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.25 : 2,014.20 = 650.43 : x
  2. Step 2: Convert to fraction form
    1,343.25/2,014.20 = 650.43/x
  3. Step 3: Cross multiply
    1,343.25x = 2,014.20 × 650.43
  4. Step 4: Simplify right side
    1,343.25x = 1,310,096.11
  5. Step 5: Solve for x
    x = 1,310,096.11/1,343.25
  6. Step 6: Final answer
    x = 975.32

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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.