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Finding the Fourth Proportional to 1,227.33, 1,693.71 and 723.06

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Solution

The fourth proportional to 1,227.33, 1,693.71 and 723.06 is: 997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.33 : 1,693.71 = 723.06 : x
  2. Step 2: Convert to fraction form
    1,227.33/1,693.71 = 723.06/x
  3. Step 3: Cross multiply
    1,227.33x = 1,693.71 × 723.06
  4. Step 4: Simplify right side
    1,227.33x = 1,224,653.95
  5. Step 5: Solve for x
    x = 1,224,653.95/1,227.33
  6. Step 6: Final answer
    x = 997.82

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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.