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Finding the Fourth Proportional to 1,343.08, 2,015.26 and 477.80

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Solution

The fourth proportional to 1,343.08, 2,015.26 and 477.80 is: 716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.08 : 2,015.26 = 477.80 : x
  2. Step 2: Convert to fraction form
    1,343.08/2,015.26 = 477.80/x
  3. Step 3: Cross multiply
    1,343.08x = 2,015.26 × 477.80
  4. Step 4: Simplify right side
    1,343.08x = 962,891.23
  5. Step 5: Solve for x
    x = 962,891.23/1,343.08
  6. Step 6: Final answer
    x = 716.93

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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.