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Finding the Fourth Proportional to 941.99, 1,413.08 and 833.31

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Solution

The fourth proportional to 941.99, 1,413.08 and 833.31 is: 1,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.99 : 1,413.08 = 833.31 : x
  2. Step 2: Convert to fraction form
    941.99/1,413.08 = 833.31/x
  3. Step 3: Cross multiply
    941.99x = 1,413.08 × 833.31
  4. Step 4: Simplify right side
    941.99x = 1,177,529.53
  5. Step 5: Solve for x
    x = 1,177,529.53/941.99
  6. Step 6: Final answer
    x = 1,250.05

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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.