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Finding the Fourth Proportional to 892.63, 1,338.27 and 617.95

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Solution

The fourth proportional to 892.63, 1,338.27 and 617.95 is: 926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.63 : 1,338.27 = 617.95 : x
  2. Step 2: Convert to fraction form
    892.63/1,338.27 = 617.95/x
  3. Step 3: Cross multiply
    892.63x = 1,338.27 × 617.95
  4. Step 4: Simplify right side
    892.63x = 826,983.95
  5. Step 5: Solve for x
    x = 826,983.95/892.63
  6. Step 6: Final answer
    x = 926.46

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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.