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Finding the Fourth Proportional to 881.79, 1,322.89 and 419.33

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Solution

The fourth proportional to 881.79, 1,322.89 and 419.33 is: 629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.79 : 1,322.89 = 419.33 : x
  2. Step 2: Convert to fraction form
    881.79/1,322.89 = 419.33/x
  3. Step 3: Cross multiply
    881.79x = 1,322.89 × 419.33
  4. Step 4: Simplify right side
    881.79x = 554,729.72
  5. Step 5: Solve for x
    x = 554,729.72/881.79
  6. Step 6: Final answer
    x = 629.10

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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.