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Finding the Fourth Proportional to 992.82, 1,489.25 and 262.41

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Solution

The fourth proportional to 992.82, 1,489.25 and 262.41 is: 393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.82 : 1,489.25 = 262.41 : x
  2. Step 2: Convert to fraction form
    992.82/1,489.25 = 262.41/x
  3. Step 3: Cross multiply
    992.82x = 1,489.25 × 262.41
  4. Step 4: Simplify right side
    992.82x = 390,789.16
  5. Step 5: Solve for x
    x = 390,789.16/992.82
  6. Step 6: Final answer
    x = 393.61

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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.