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Finding the Fourth Proportional to 1,227.51, 1,693.95 and 667.98

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Solution

The fourth proportional to 1,227.51, 1,693.95 and 667.98 is: 921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.51 : 1,693.95 = 667.98 : x
  2. Step 2: Convert to fraction form
    1,227.51/1,693.95 = 667.98/x
  3. Step 3: Cross multiply
    1,227.51x = 1,693.95 × 667.98
  4. Step 4: Simplify right side
    1,227.51x = 1,131,524.72
  5. Step 5: Solve for x
    x = 1,131,524.72/1,227.51
  6. Step 6: Final answer
    x = 921.80

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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.