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Finding the Fourth Proportional to 1,227.35, 1,693.76 and 667.83

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Solution

The fourth proportional to 1,227.35, 1,693.76 and 667.83 is: 921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.35 : 1,693.76 = 667.83 : x
  2. Step 2: Convert to fraction form
    1,227.35/1,693.76 = 667.83/x
  3. Step 3: Cross multiply
    1,227.35x = 1,693.76 × 667.83
  4. Step 4: Simplify right side
    1,227.35x = 1,131,140.40
  5. Step 5: Solve for x
    x = 1,131,140.40/1,227.35
  6. Step 6: Final answer
    x = 921.61

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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.