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Finding the Fourth Proportional to 712.53, 983.25 and 413.73

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Solution

The fourth proportional to 712.53, 983.25 and 413.73 is: 570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.53 : 983.25 = 413.73 : x
  2. Step 2: Convert to fraction form
    712.53/983.25 = 413.73/x
  3. Step 3: Cross multiply
    712.53x = 983.25 × 413.73
  4. Step 4: Simplify right side
    712.53x = 406,800.02
  5. Step 5: Solve for x
    x = 406,800.02/712.53
  6. Step 6: Final answer
    x = 570.92

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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.