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Finding the Fourth Proportional to 1,413.82, 2,120.41 and 536.14

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Solution

The fourth proportional to 1,413.82, 2,120.41 and 536.14 is: 804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.82 : 2,120.41 = 536.14 : x
  2. Step 2: Convert to fraction form
    1,413.82/2,120.41 = 536.14/x
  3. Step 3: Cross multiply
    1,413.82x = 2,120.41 × 536.14
  4. Step 4: Simplify right side
    1,413.82x = 1,136,836.62
  5. Step 5: Solve for x
    x = 1,136,836.62/1,413.82
  6. Step 6: Final answer
    x = 804.09

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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.