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Finding the Fourth Proportional to 1,233.98, 1,851.27 and 869.48

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Solution

The fourth proportional to 1,233.98, 1,851.27 and 869.48 is: 1,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.98 : 1,851.27 = 869.48 : x
  2. Step 2: Convert to fraction form
    1,233.98/1,851.27 = 869.48/x
  3. Step 3: Cross multiply
    1,233.98x = 1,851.27 × 869.48
  4. Step 4: Simplify right side
    1,233.98x = 1,609,632.98
  5. Step 5: Solve for x
    x = 1,609,632.98/1,233.98
  6. Step 6: Final answer
    x = 1,304.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.