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Finding the Fourth Proportional to 727.93, 1,003.48 and 552.97

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Solution

The fourth proportional to 727.93, 1,003.48 and 552.97 is: 762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.93 : 1,003.48 = 552.97 : x
  2. Step 2: Convert to fraction form
    727.93/1,003.48 = 552.97/x
  3. Step 3: Cross multiply
    727.93x = 1,003.48 × 552.97
  4. Step 4: Simplify right side
    727.93x = 554,894.34
  5. Step 5: Solve for x
    x = 554,894.34/727.93
  6. Step 6: Final answer
    x = 762.29

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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.