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Finding the Fourth Proportional to 727.85, 1,093.09 and 454.47

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Solution

The fourth proportional to 727.85, 1,093.09 and 454.47 is: 682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.85 : 1,093.09 = 454.47 : x
  2. Step 2: Convert to fraction form
    727.85/1,093.09 = 454.47/x
  3. Step 3: Cross multiply
    727.85x = 1,093.09 × 454.47
  4. Step 4: Simplify right side
    727.85x = 496,776.61
  5. Step 5: Solve for x
    x = 496,776.61/727.85
  6. Step 6: Final answer
    x = 682.53

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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.