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Finding the Fourth Proportional to 881.94, 1,322.64 and 609.78

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Solution

The fourth proportional to 881.94, 1,322.64 and 609.78 is: 914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.94 : 1,322.64 = 609.78 : x
  2. Step 2: Convert to fraction form
    881.94/1,322.64 = 609.78/x
  3. Step 3: Cross multiply
    881.94x = 1,322.64 × 609.78
  4. Step 4: Simplify right side
    881.94x = 806,519.42
  5. Step 5: Solve for x
    x = 806,519.42/881.94
  6. Step 6: Final answer
    x = 914.48

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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.