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Finding the Fourth Proportional to 943.84, 1,413.36 and 635.36

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Solution

The fourth proportional to 943.84, 1,413.36 and 635.36 is: 951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.84 : 1,413.36 = 635.36 : x
  2. Step 2: Convert to fraction form
    943.84/1,413.36 = 635.36/x
  3. Step 3: Cross multiply
    943.84x = 1,413.36 × 635.36
  4. Step 4: Simplify right side
    943.84x = 897,992.41
  5. Step 5: Solve for x
    x = 897,992.41/943.84
  6. Step 6: Final answer
    x = 951.42

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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.