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Finding the Fourth Proportional to 712.68, 983.37 and 413.94

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Solution

The fourth proportional to 712.68, 983.37 and 413.94 is: 571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.68 : 983.37 = 413.94 : x
  2. Step 2: Convert to fraction form
    712.68/983.37 = 413.94/x
  3. Step 3: Cross multiply
    712.68x = 983.37 × 413.94
  4. Step 4: Simplify right side
    712.68x = 407,056.18
  5. Step 5: Solve for x
    x = 407,056.18/712.68
  6. Step 6: Final answer
    x = 571.16

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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.