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Finding the Fourth Proportional to 1,413.95, 2,119.50 and 683.12

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Solution

The fourth proportional to 1,413.95, 2,119.50 and 683.12 is: 1,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.95 : 2,119.50 = 683.12 : x
  2. Step 2: Convert to fraction form
    1,413.95/2,119.50 = 683.12/x
  3. Step 3: Cross multiply
    1,413.95x = 2,119.50 × 683.12
  4. Step 4: Simplify right side
    1,413.95x = 1,447,862.24
  5. Step 5: Solve for x
    x = 1,447,862.24/1,413.95
  6. Step 6: Final answer
    x = 1,023.99

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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.