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Finding the Fourth Proportional to 727.53, 1,091.07 and 240.47

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Solution

The fourth proportional to 727.53, 1,091.07 and 240.47 is: 360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.53 : 1,091.07 = 240.47 : x
  2. Step 2: Convert to fraction form
    727.53/1,091.07 = 240.47/x
  3. Step 3: Cross multiply
    727.53x = 1,091.07 × 240.47
  4. Step 4: Simplify right side
    727.53x = 262,368.24
  5. Step 5: Solve for x
    x = 262,368.24/727.53
  6. Step 6: Final answer
    x = 360.63

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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.