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Finding the Fourth Proportional to 727.29, 1,003.51 and 447.42

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Solution

The fourth proportional to 727.29, 1,003.51 and 447.42 is: 617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.29 : 1,003.51 = 447.42 : x
  2. Step 2: Convert to fraction form
    727.29/1,003.51 = 447.42/x
  3. Step 3: Cross multiply
    727.29x = 1,003.51 × 447.42
  4. Step 4: Simplify right side
    727.29x = 448,996.03
  5. Step 5: Solve for x
    x = 448,996.03/727.29
  6. Step 6: Final answer
    x = 617.35

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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.