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Finding the Fourth Proportional to 799.16, 1,196.58 and 413.60

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Solution

The fourth proportional to 799.16, 1,196.58 and 413.60 is: 619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.16 : 1,196.58 = 413.60 : x
  2. Step 2: Convert to fraction form
    799.16/1,196.58 = 413.60/x
  3. Step 3: Cross multiply
    799.16x = 1,196.58 × 413.60
  4. Step 4: Simplify right side
    799.16x = 494,905.49
  5. Step 5: Solve for x
    x = 494,905.49/799.16
  6. Step 6: Final answer
    x = 619.28

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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.