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Finding the Fourth Proportional to 1,413.96, 1,951.11 and 816.27

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Solution

The fourth proportional to 1,413.96, 1,951.11 and 816.27 is: 1,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.96 : 1,951.11 = 816.27 : x
  2. Step 2: Convert to fraction form
    1,413.96/1,951.11 = 816.27/x
  3. Step 3: Cross multiply
    1,413.96x = 1,951.11 × 816.27
  4. Step 4: Simplify right side
    1,413.96x = 1,592,632.56
  5. Step 5: Solve for x
    x = 1,592,632.56/1,413.96
  6. Step 6: Final answer
    x = 1,126.36

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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.