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Finding the Fourth Proportional to 712.51, 983.32 and 413.87

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Solution

The fourth proportional to 712.51, 983.32 and 413.87 is: 571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.51 : 983.32 = 413.87 : x
  2. Step 2: Convert to fraction form
    712.51/983.32 = 413.87/x
  3. Step 3: Cross multiply
    712.51x = 983.32 × 413.87
  4. Step 4: Simplify right side
    712.51x = 406,960.70
  5. Step 5: Solve for x
    x = 406,960.70/712.51
  6. Step 6: Final answer
    x = 571.17

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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.