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Finding the Fourth Proportional to 992.16, 1,489.21 and 828.68

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Solution

The fourth proportional to 992.16, 1,489.21 and 828.68 is: 1,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.16 : 1,489.21 = 828.68 : x
  2. Step 2: Convert to fraction form
    992.16/1,489.21 = 828.68/x
  3. Step 3: Cross multiply
    992.16x = 1,489.21 × 828.68
  4. Step 4: Simplify right side
    992.16x = 1,234,078.54
  5. Step 5: Solve for x
    x = 1,234,078.54/992.16
  6. Step 6: Final answer
    x = 1,243.83

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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.