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Finding the Fourth Proportional to 943.22, 1,413.99 and 633.86

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Solution

The fourth proportional to 943.22, 1,413.99 and 633.86 is: 950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.22 : 1,413.99 = 633.86 : x
  2. Step 2: Convert to fraction form
    943.22/1,413.99 = 633.86/x
  3. Step 3: Cross multiply
    943.22x = 1,413.99 × 633.86
  4. Step 4: Simplify right side
    943.22x = 896,271.70
  5. Step 5: Solve for x
    x = 896,271.70/943.22
  6. Step 6: Final answer
    x = 950.23

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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.