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Finding the Fourth Proportional to 881.99, 1,321.97 and 419.12

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Solution

The fourth proportional to 881.99, 1,321.97 and 419.12 is: 628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.99 : 1,321.97 = 419.12 : x
  2. Step 2: Convert to fraction form
    881.99/1,321.97 = 419.12/x
  3. Step 3: Cross multiply
    881.99x = 1,321.97 × 419.12
  4. Step 4: Simplify right side
    881.99x = 554,055.36
  5. Step 5: Solve for x
    x = 554,055.36/881.99
  6. Step 6: Final answer
    x = 628.19

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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.