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Finding the Fourth Proportional to 1,413.90, 2,121.12 and 547.74

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Solution

The fourth proportional to 1,413.90, 2,121.12 and 547.74 is: 821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.90 : 2,121.12 = 547.74 : x
  2. Step 2: Convert to fraction form
    1,413.90/2,121.12 = 547.74/x
  3. Step 3: Cross multiply
    1,413.90x = 2,121.12 × 547.74
  4. Step 4: Simplify right side
    1,413.90x = 1,161,822.27
  5. Step 5: Solve for x
    x = 1,161,822.27/1,413.90
  6. Step 6: Final answer
    x = 821.71

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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.