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Finding the Fourth Proportional to 1,393.26, 2,089.90 and 419.36

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Solution

The fourth proportional to 1,393.26, 2,089.90 and 419.36 is: 629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.26 : 2,089.90 = 419.36 : x
  2. Step 2: Convert to fraction form
    1,393.26/2,089.90 = 419.36/x
  3. Step 3: Cross multiply
    1,393.26x = 2,089.90 × 419.36
  4. Step 4: Simplify right side
    1,393.26x = 876,420.46
  5. Step 5: Solve for x
    x = 876,420.46/1,393.26
  6. Step 6: Final answer
    x = 629.04

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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.