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Finding the Fourth Proportional to 881.42, 1,322.70 and 419.72

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Solution

The fourth proportional to 881.42, 1,322.70 and 419.72 is: 629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.42 : 1,322.70 = 419.72 : x
  2. Step 2: Convert to fraction form
    881.42/1,322.70 = 419.72/x
  3. Step 3: Cross multiply
    881.42x = 1,322.70 × 419.72
  4. Step 4: Simplify right side
    881.42x = 555,163.64
  5. Step 5: Solve for x
    x = 555,163.64/881.42
  6. Step 6: Final answer
    x = 629.85

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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.