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Finding the Fourth Proportional to 881.42, 1,322.55 and 394.34

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Solution

The fourth proportional to 881.42, 1,322.55 and 394.34 is: 591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.42 : 1,322.55 = 394.34 : x
  2. Step 2: Convert to fraction form
    881.42/1,322.55 = 394.34/x
  3. Step 3: Cross multiply
    881.42x = 1,322.55 × 394.34
  4. Step 4: Simplify right side
    881.42x = 521,527.75
  5. Step 5: Solve for x
    x = 521,527.75/881.42
  6. Step 6: Final answer
    x = 591.69

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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.