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Finding the Fourth Proportional to 892.80, 1,338.24 and 506.88

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Solution

The fourth proportional to 892.80, 1,338.24 and 506.88 is: 759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.80 : 1,338.24 = 506.88 : x
  2. Step 2: Convert to fraction form
    892.80/1,338.24 = 506.88/x
  3. Step 3: Cross multiply
    892.80x = 1,338.24 × 506.88
  4. Step 4: Simplify right side
    892.80x = 678,327.09
  5. Step 5: Solve for x
    x = 678,327.09/892.80
  6. Step 6: Final answer
    x = 759.77

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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.