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Finding the Fourth Proportional to 1,413.71, 2,120.56 and 548.02

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Solution

The fourth proportional to 1,413.71, 2,120.56 and 548.02 is: 822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.71 : 2,120.56 = 548.02 : x
  2. Step 2: Convert to fraction form
    1,413.71/2,120.56 = 548.02/x
  3. Step 3: Cross multiply
    1,413.71x = 2,120.56 × 548.02
  4. Step 4: Simplify right side
    1,413.71x = 1,162,095.95
  5. Step 5: Solve for x
    x = 1,162,095.95/1,413.71
  6. Step 6: Final answer
    x = 822.02

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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.