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Finding the Fourth Proportional to 727.94, 1,004.50 and 413.12

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Solution

The fourth proportional to 727.94, 1,004.50 and 413.12 is: 570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.94 : 1,004.50 = 413.12 : x
  2. Step 2: Convert to fraction form
    727.94/1,004.50 = 413.12/x
  3. Step 3: Cross multiply
    727.94x = 1,004.50 × 413.12
  4. Step 4: Simplify right side
    727.94x = 414,979.04
  5. Step 5: Solve for x
    x = 414,979.04/727.94
  6. Step 6: Final answer
    x = 570.07

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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.