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Finding the Fourth Proportional to 727.15, 1,003.12 and 447.27

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Solution

The fourth proportional to 727.15, 1,003.12 and 447.27 is: 617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.15 : 1,003.12 = 447.27 : x
  2. Step 2: Convert to fraction form
    727.15/1,003.12 = 447.27/x
  3. Step 3: Cross multiply
    727.15x = 1,003.12 × 447.27
  4. Step 4: Simplify right side
    727.15x = 448,658.23
  5. Step 5: Solve for x
    x = 448,658.23/727.15
  6. Step 6: Final answer
    x = 617.01

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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.