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Finding the Fourth Proportional to 1,413.59, 2,121.01 and 547.97

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Solution

The fourth proportional to 1,413.59, 2,121.01 and 547.97 is: 822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.59 : 2,121.01 = 547.97 : x
  2. Step 2: Convert to fraction form
    1,413.59/2,121.01 = 547.97/x
  3. Step 3: Cross multiply
    1,413.59x = 2,121.01 × 547.97
  4. Step 4: Simplify right side
    1,413.59x = 1,162,237.87
  5. Step 5: Solve for x
    x = 1,162,237.87/1,413.59
  6. Step 6: Final answer
    x = 822.19

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Why These Related Problems?

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