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Finding the Fourth Proportional to 818.48, 1,227.72 and 773.12

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Solution

The fourth proportional to 818.48, 1,227.72 and 773.12 is: 1,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.48 : 1,227.72 = 773.12 : x
  2. Step 2: Convert to fraction form
    818.48/1,227.72 = 773.12/x
  3. Step 3: Cross multiply
    818.48x = 1,227.72 × 773.12
  4. Step 4: Simplify right side
    818.48x = 949,174.89
  5. Step 5: Solve for x
    x = 949,174.89/818.48
  6. Step 6: Final answer
    x = 1,159.68

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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.