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Finding the Fourth Proportional to 1,343.53, 2,014.66 and 727.08

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Solution

The fourth proportional to 1,343.53, 2,014.66 and 727.08 is: 1,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.53 : 2,014.66 = 727.08 : x
  2. Step 2: Convert to fraction form
    1,343.53/2,014.66 = 727.08/x
  3. Step 3: Cross multiply
    1,343.53x = 2,014.66 × 727.08
  4. Step 4: Simplify right side
    1,343.53x = 1,464,818.99
  5. Step 5: Solve for x
    x = 1,464,818.99/1,343.53
  6. Step 6: Final answer
    x = 1,090.28

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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.