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Finding the Fourth Proportional to 992.82, 1,490.31 and 680.70

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Solution

The fourth proportional to 992.82, 1,490.31 and 680.70 is: 1,021.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.82 : 1,490.31 = 680.70 : x
  2. Step 2: Convert to fraction form
    992.82/1,490.31 = 680.70/x
  3. Step 3: Cross multiply
    992.82x = 1,490.31 × 680.70
  4. Step 4: Simplify right side
    992.82x = 1,014,454.02
  5. Step 5: Solve for x
    x = 1,014,454.02/992.82
  6. Step 6: Final answer
    x = 1,021.79

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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.