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Finding the Fourth Proportional to 727.48, 1,003.93 and 395.91

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Solution

The fourth proportional to 727.48, 1,003.93 and 395.91 is: 546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.48 : 1,003.93 = 395.91 : x
  2. Step 2: Convert to fraction form
    727.48/1,003.93 = 395.91/x
  3. Step 3: Cross multiply
    727.48x = 1,003.93 × 395.91
  4. Step 4: Simplify right side
    727.48x = 397,467.16
  5. Step 5: Solve for x
    x = 397,467.16/727.48
  6. Step 6: Final answer
    x = 546.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.