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Finding the Fourth Proportional to 1,243.69, 1,713.31 and 869.96

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Solution

The fourth proportional to 1,243.69, 1,713.31 and 869.96 is: 1,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.69 : 1,713.31 = 869.96 : x
  2. Step 2: Convert to fraction form
    1,243.69/1,713.31 = 869.96/x
  3. Step 3: Cross multiply
    1,243.69x = 1,713.31 × 869.96
  4. Step 4: Simplify right side
    1,243.69x = 1,490,513.28
  5. Step 5: Solve for x
    x = 1,490,513.28/1,243.69
  6. Step 6: Final answer
    x = 1,198.46

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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.