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Finding the Fourth Proportional to 712.26, 982.89 and 413.52

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Solution

The fourth proportional to 712.26, 982.89 and 413.52 is: 570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.26 : 982.89 = 413.52 : x
  2. Step 2: Convert to fraction form
    712.26/982.89 = 413.52/x
  3. Step 3: Cross multiply
    712.26x = 982.89 × 413.52
  4. Step 4: Simplify right side
    712.26x = 406,442.61
  5. Step 5: Solve for x
    x = 406,442.61/712.26
  6. Step 6: Final answer
    x = 570.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.