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Finding the Fourth Proportional to 943.67, 1,413.89 and 614.10

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Solution

The fourth proportional to 943.67, 1,413.89 and 614.10 is: 920.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.67 : 1,413.89 = 614.10 : x
  2. Step 2: Convert to fraction form
    943.67/1,413.89 = 614.10/x
  3. Step 3: Cross multiply
    943.67x = 1,413.89 × 614.10
  4. Step 4: Simplify right side
    943.67x = 868,269.85
  5. Step 5: Solve for x
    x = 868,269.85/943.67
  6. Step 6: Final answer
    x = 920.10

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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.