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Finding the Fourth Proportional to 727.57, 1,092.57 and 477.82

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Solution

The fourth proportional to 727.57, 1,092.57 and 477.82 is: 717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.57 : 1,092.57 = 477.82 : x
  2. Step 2: Convert to fraction form
    727.57/1,092.57 = 477.82/x
  3. Step 3: Cross multiply
    727.57x = 1,092.57 × 477.82
  4. Step 4: Simplify right side
    727.57x = 522,049.07
  5. Step 5: Solve for x
    x = 522,049.07/727.57
  6. Step 6: Final answer
    x = 717.53

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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.