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Finding the Fourth Proportional to 943.97, 1,413.32 and 480.75

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Solution

The fourth proportional to 943.97, 1,413.32 and 480.75 is: 719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.97 : 1,413.32 = 480.75 : x
  2. Step 2: Convert to fraction form
    943.97/1,413.32 = 480.75/x
  3. Step 3: Cross multiply
    943.97x = 1,413.32 × 480.75
  4. Step 4: Simplify right side
    943.97x = 679,446.52
  5. Step 5: Solve for x
    x = 679,446.52/943.97
  6. Step 6: Final answer
    x = 719.78

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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.