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Finding the Fourth Proportional to 881.32, 1,322.07 and 394.33

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Solution

The fourth proportional to 881.32, 1,322.07 and 394.33 is: 591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.32 : 1,322.07 = 394.33 : x
  2. Step 2: Convert to fraction form
    881.32/1,322.07 = 394.33/x
  3. Step 3: Cross multiply
    881.32x = 1,322.07 × 394.33
  4. Step 4: Simplify right side
    881.32x = 521,331.86
  5. Step 5: Solve for x
    x = 521,331.86/881.32
  6. Step 6: Final answer
    x = 591.54

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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.