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Finding the Fourth Proportional to 1,004.22, 1,386.42 and 767.73

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Solution

The fourth proportional to 1,004.22, 1,386.42 and 767.73 is: 1,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.22 : 1,386.42 = 767.73 : x
  2. Step 2: Convert to fraction form
    1,004.22/1,386.42 = 767.73/x
  3. Step 3: Cross multiply
    1,004.22x = 1,386.42 × 767.73
  4. Step 4: Simplify right side
    1,004.22x = 1,064,396.23
  5. Step 5: Solve for x
    x = 1,064,396.23/1,004.22
  6. Step 6: Final answer
    x = 1,059.92

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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.