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Finding the Fourth Proportional to 1,233.54, 1,850.27 and 869.96

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Solution

The fourth proportional to 1,233.54, 1,850.27 and 869.96 is: 1,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.54 : 1,850.27 = 869.96 : x
  2. Step 2: Convert to fraction form
    1,233.54/1,850.27 = 869.96/x
  3. Step 3: Cross multiply
    1,233.54x = 1,850.27 × 869.96
  4. Step 4: Simplify right side
    1,233.54x = 1,609,661.17
  5. Step 5: Solve for x
    x = 1,609,661.17/1,233.54
  6. Step 6: Final answer
    x = 1,304.91

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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.