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Finding the Fourth Proportional to 727.89, 1,091.16 and 338.16

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Solution

The fourth proportional to 727.89, 1,091.16 and 338.16 is: 506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.89 : 1,091.16 = 338.16 : x
  2. Step 2: Convert to fraction form
    727.89/1,091.16 = 338.16/x
  3. Step 3: Cross multiply
    727.89x = 1,091.16 × 338.16
  4. Step 4: Simplify right side
    727.89x = 368,986.67
  5. Step 5: Solve for x
    x = 368,986.67/727.89
  6. Step 6: Final answer
    x = 506.93

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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.