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Finding the Fourth Proportional to 799.04, 1,196.39 and 413.48

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Solution

The fourth proportional to 799.04, 1,196.39 and 413.48 is: 619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.04 : 1,196.39 = 413.48 : x
  2. Step 2: Convert to fraction form
    799.04/1,196.39 = 413.48/x
  3. Step 3: Cross multiply
    799.04x = 1,196.39 × 413.48
  4. Step 4: Simplify right side
    799.04x = 494,683.34
  5. Step 5: Solve for x
    x = 494,683.34/799.04
  6. Step 6: Final answer
    x = 619.10

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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.