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Finding the Fourth Proportional to 1,400.70, 2,100.66 and 413.73

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Solution

The fourth proportional to 1,400.70, 2,100.66 and 413.73 is: 620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.70 : 2,100.66 = 413.73 : x
  2. Step 2: Convert to fraction form
    1,400.70/2,100.66 = 413.73/x
  3. Step 3: Cross multiply
    1,400.70x = 2,100.66 × 413.73
  4. Step 4: Simplify right side
    1,400.70x = 869,106.06
  5. Step 5: Solve for x
    x = 869,106.06/1,400.70
  6. Step 6: Final answer
    x = 620.48

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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.