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Finding the Fourth Proportional to 727.09, 1,089.57 and 337.21

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Solution

The fourth proportional to 727.09, 1,089.57 and 337.21 is: 505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.09 : 1,089.57 = 337.21 : x
  2. Step 2: Convert to fraction form
    727.09/1,089.57 = 337.21/x
  3. Step 3: Cross multiply
    727.09x = 1,089.57 × 337.21
  4. Step 4: Simplify right side
    727.09x = 367,413.90
  5. Step 5: Solve for x
    x = 367,413.90/727.09
  6. Step 6: Final answer
    x = 505.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.