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Finding the Fourth Proportional to 1,233.73, 1,848.49 and 745.75

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Solution

The fourth proportional to 1,233.73, 1,848.49 and 745.75 is: 1,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.73 : 1,848.49 = 745.75 : x
  2. Step 2: Convert to fraction form
    1,233.73/1,848.49 = 745.75/x
  3. Step 3: Cross multiply
    1,233.73x = 1,848.49 × 745.75
  4. Step 4: Simplify right side
    1,233.73x = 1,378,511.42
  5. Step 5: Solve for x
    x = 1,378,511.42/1,233.73
  6. Step 6: Final answer
    x = 1,117.35

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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.