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Finding the Fourth Proportional to 1,343.40, 2,013.34 and 727.24

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Solution

The fourth proportional to 1,343.40, 2,013.34 and 727.24 is: 1,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.40 : 2,013.34 = 727.24 : x
  2. Step 2: Convert to fraction form
    1,343.40/2,013.34 = 727.24/x
  3. Step 3: Cross multiply
    1,343.40x = 2,013.34 × 727.24
  4. Step 4: Simplify right side
    1,343.40x = 1,464,181.38
  5. Step 5: Solve for x
    x = 1,464,181.38/1,343.40
  6. Step 6: Final answer
    x = 1,089.91

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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.