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Finding the Fourth Proportional to 727.02, 1,003.86 and 465.48

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Solution

The fourth proportional to 727.02, 1,003.86 and 465.48 is: 642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.02 : 1,003.86 = 465.48 : x
  2. Step 2: Convert to fraction form
    727.02/1,003.86 = 465.48/x
  3. Step 3: Cross multiply
    727.02x = 1,003.86 × 465.48
  4. Step 4: Simplify right side
    727.02x = 467,276.75
  5. Step 5: Solve for x
    x = 467,276.75/727.02
  6. Step 6: Final answer
    x = 642.73

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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.