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Finding the Fourth Proportional to 881.35, 1,321.84 and 394.09

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Solution

The fourth proportional to 881.35, 1,321.84 and 394.09 is: 591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.35 : 1,321.84 = 394.09 : x
  2. Step 2: Convert to fraction form
    881.35/1,321.84 = 394.09/x
  3. Step 3: Cross multiply
    881.35x = 1,321.84 × 394.09
  4. Step 4: Simplify right side
    881.35x = 520,923.93
  5. Step 5: Solve for x
    x = 520,923.93/881.35
  6. Step 6: Final answer
    x = 591.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.