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Finding the Fourth Proportional to 992.91, 1,370.97 and 600.45

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Solution

The fourth proportional to 992.91, 1,370.97 and 600.45 is: 829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.91 : 1,370.97 = 600.45 : x
  2. Step 2: Convert to fraction form
    992.91/1,370.97 = 600.45/x
  3. Step 3: Cross multiply
    992.91x = 1,370.97 × 600.45
  4. Step 4: Simplify right side
    992.91x = 823,198.94
  5. Step 5: Solve for x
    x = 823,198.94/992.91
  6. Step 6: Final answer
    x = 829.08

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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.