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Finding the Fourth Proportional to 1,343.68, 2,014 and 650.72

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Solution

The fourth proportional to 1,343.68, 2,014 and 650.72 is: 975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.68 : 2,014 = 650.72 : x
  2. Step 2: Convert to fraction form
    1,343.68/2,014 = 650.72/x
  3. Step 3: Cross multiply
    1,343.68x = 2,014 × 650.72
  4. Step 4: Simplify right side
    1,343.68x = 1,310,550.08
  5. Step 5: Solve for x
    x = 1,310,550.08/1,343.68
  6. Step 6: Final answer
    x = 975.34

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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.