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Finding the Fourth Proportional to 992.22, 1,365.98 and 844

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Solution

The fourth proportional to 992.22, 1,365.98 and 844 is: 1,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.22 : 1,365.98 = 844 : x
  2. Step 2: Convert to fraction form
    992.22/1,365.98 = 844/x
  3. Step 3: Cross multiply
    992.22x = 1,365.98 × 844
  4. Step 4: Simplify right side
    992.22x = 1,152,887.12
  5. Step 5: Solve for x
    x = 1,152,887.12/992.22
  6. Step 6: Final answer
    x = 1,161.93

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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.