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Finding the Fourth Proportional to 1,343.09, 2,014.23 and 521.18

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Solution

The fourth proportional to 1,343.09, 2,014.23 and 521.18 is: 781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.09 : 2,014.23 = 521.18 : x
  2. Step 2: Convert to fraction form
    1,343.09/2,014.23 = 521.18/x
  3. Step 3: Cross multiply
    1,343.09x = 2,014.23 × 521.18
  4. Step 4: Simplify right side
    1,343.09x = 1,049,776.39
  5. Step 5: Solve for x
    x = 1,049,776.39/1,343.09
  6. Step 6: Final answer
    x = 781.61

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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.