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Finding the Fourth Proportional to 727.89, 1,091.64 and 496.74

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Solution

The fourth proportional to 727.89, 1,091.64 and 496.74 is: 744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.89 : 1,091.64 = 496.74 : x
  2. Step 2: Convert to fraction form
    727.89/1,091.64 = 496.74/x
  3. Step 3: Cross multiply
    727.89x = 1,091.64 × 496.74
  4. Step 4: Simplify right side
    727.89x = 542,261.25
  5. Step 5: Solve for x
    x = 542,261.25/727.89
  6. Step 6: Final answer
    x = 744.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.