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Finding the Fourth Proportional to 727.93, 1,003.51 and 518.02

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Solution

The fourth proportional to 727.93, 1,003.51 and 518.02 is: 714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.93 : 1,003.51 = 518.02 : x
  2. Step 2: Convert to fraction form
    727.93/1,003.51 = 518.02/x
  3. Step 3: Cross multiply
    727.93x = 1,003.51 × 518.02
  4. Step 4: Simplify right side
    727.93x = 519,840.15
  5. Step 5: Solve for x
    x = 519,840.15/727.93
  6. Step 6: Final answer
    x = 714.14

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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.