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Finding the Fourth Proportional to 1,227.22, 1,693.59 and 667.69

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Solution

The fourth proportional to 1,227.22, 1,693.59 and 667.69 is: 921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.22 : 1,693.59 = 667.69 : x
  2. Step 2: Convert to fraction form
    1,227.22/1,693.59 = 667.69/x
  3. Step 3: Cross multiply
    1,227.22x = 1,693.59 × 667.69
  4. Step 4: Simplify right side
    1,227.22x = 1,130,793.11
  5. Step 5: Solve for x
    x = 1,130,793.11/1,227.22
  6. Step 6: Final answer
    x = 921.43

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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.