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Finding the Fourth Proportional to 990.82, 1,367.34 and 597.97

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Solution

The fourth proportional to 990.82, 1,367.34 and 597.97 is: 825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.82 : 1,367.34 = 597.97 : x
  2. Step 2: Convert to fraction form
    990.82/1,367.34 = 597.97/x
  3. Step 3: Cross multiply
    990.82x = 1,367.34 × 597.97
  4. Step 4: Simplify right side
    990.82x = 817,628.30
  5. Step 5: Solve for x
    x = 817,628.30/990.82
  6. Step 6: Final answer
    x = 825.20

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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.