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Finding the Fourth Proportional to 881.43, 1,322.66 and 326.53

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Solution

The fourth proportional to 881.43, 1,322.66 and 326.53 is: 489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.43 : 1,322.66 = 326.53 : x
  2. Step 2: Convert to fraction form
    881.43/1,322.66 = 326.53/x
  3. Step 3: Cross multiply
    881.43x = 1,322.66 × 326.53
  4. Step 4: Simplify right side
    881.43x = 431,889.95
  5. Step 5: Solve for x
    x = 431,889.95/881.43
  6. Step 6: Final answer
    x = 489.99

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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.