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Finding the Fourth Proportional to 996.93, 1,372.86 and 775.51

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Solution

The fourth proportional to 996.93, 1,372.86 and 775.51 is: 1,067.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.93 : 1,372.86 = 775.51 : x
  2. Step 2: Convert to fraction form
    996.93/1,372.86 = 775.51/x
  3. Step 3: Cross multiply
    996.93x = 1,372.86 × 775.51
  4. Step 4: Simplify right side
    996.93x = 1,064,663.23
  5. Step 5: Solve for x
    x = 1,064,663.23/996.93
  6. Step 6: Final answer
    x = 1,067.94

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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.