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Finding the Fourth Proportional to 1,413.82, 2,119.82 and 683

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Solution

The fourth proportional to 1,413.82, 2,119.82 and 683 is: 1,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.82 : 2,119.82 = 683 : x
  2. Step 2: Convert to fraction form
    1,413.82/2,119.82 = 683/x
  3. Step 3: Cross multiply
    1,413.82x = 2,119.82 × 683
  4. Step 4: Simplify right side
    1,413.82x = 1,447,837.06
  5. Step 5: Solve for x
    x = 1,447,837.06/1,413.82
  6. Step 6: Final answer
    x = 1,024.06

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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.