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Finding the Fourth Proportional to 992.16, 1,481.77 and 844.33

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Solution

The fourth proportional to 992.16, 1,481.77 and 844.33 is: 1,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.16 : 1,481.77 = 844.33 : x
  2. Step 2: Convert to fraction form
    992.16/1,481.77 = 844.33/x
  3. Step 3: Cross multiply
    992.16x = 1,481.77 × 844.33
  4. Step 4: Simplify right side
    992.16x = 1,251,102.86
  5. Step 5: Solve for x
    x = 1,251,102.86/992.16
  6. Step 6: Final answer
    x = 1,260.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.