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Finding the Fourth Proportional to 990.71, 1,366.83 and 617.43

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Solution

The fourth proportional to 990.71, 1,366.83 and 617.43 is: 851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.71 : 1,366.83 = 617.43 : x
  2. Step 2: Convert to fraction form
    990.71/1,366.83 = 617.43/x
  3. Step 3: Cross multiply
    990.71x = 1,366.83 × 617.43
  4. Step 4: Simplify right side
    990.71x = 843,921.85
  5. Step 5: Solve for x
    x = 843,921.85/990.71
  6. Step 6: Final answer
    x = 851.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.