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Finding the Fourth Proportional to 1,233.06, 1,701.21 and 767.28

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Solution

The fourth proportional to 1,233.06, 1,701.21 and 767.28 is: 1,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.06 : 1,701.21 = 767.28 : x
  2. Step 2: Convert to fraction form
    1,233.06/1,701.21 = 767.28/x
  3. Step 3: Cross multiply
    1,233.06x = 1,701.21 × 767.28
  4. Step 4: Simplify right side
    1,233.06x = 1,305,304.41
  5. Step 5: Solve for x
    x = 1,305,304.41/1,233.06
  6. Step 6: Final answer
    x = 1,058.59

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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.