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Finding the Fourth Proportional to 727.36, 1,092.18 and 419.28

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Solution

The fourth proportional to 727.36, 1,092.18 and 419.28 is: 629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.36 : 1,092.18 = 419.28 : x
  2. Step 2: Convert to fraction form
    727.36/1,092.18 = 419.28/x
  3. Step 3: Cross multiply
    727.36x = 1,092.18 × 419.28
  4. Step 4: Simplify right side
    727.36x = 457,929.23
  5. Step 5: Solve for x
    x = 457,929.23/727.36
  6. Step 6: Final answer
    x = 629.58

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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.