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Finding the Fourth Proportional to 1,221.98, 1,686.07 and 773.98

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Solution

The fourth proportional to 1,221.98, 1,686.07 and 773.98 is: 1,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.98 : 1,686.07 = 773.98 : x
  2. Step 2: Convert to fraction form
    1,221.98/1,686.07 = 773.98/x
  3. Step 3: Cross multiply
    1,221.98x = 1,686.07 × 773.98
  4. Step 4: Simplify right side
    1,221.98x = 1,304,984.46
  5. Step 5: Solve for x
    x = 1,304,984.46/1,221.98
  6. Step 6: Final answer
    x = 1,067.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.