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Finding the Fourth Proportional to 881.42, 1,322.24 and 394.58

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Solution

The fourth proportional to 881.42, 1,322.24 and 394.58 is: 591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.42 : 1,322.24 = 394.58 : x
  2. Step 2: Convert to fraction form
    881.42/1,322.24 = 394.58/x
  3. Step 3: Cross multiply
    881.42x = 1,322.24 × 394.58
  4. Step 4: Simplify right side
    881.42x = 521,730.79
  5. Step 5: Solve for x
    x = 521,730.79/881.42
  6. Step 6: Final answer
    x = 591.92

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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.