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Finding the Fourth Proportional to 799.42, 1,196.96 and 413.86

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Solution

The fourth proportional to 799.42, 1,196.96 and 413.86 is: 619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.42 : 1,196.96 = 413.86 : x
  2. Step 2: Convert to fraction form
    799.42/1,196.96 = 413.86/x
  3. Step 3: Cross multiply
    799.42x = 1,196.96 × 413.86
  4. Step 4: Simplify right side
    799.42x = 495,365.81
  5. Step 5: Solve for x
    x = 495,365.81/799.42
  6. Step 6: Final answer
    x = 619.66

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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.