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Finding the Fourth Proportional to 732.44, 1,096.54 and 512.80

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Solution

The fourth proportional to 732.44, 1,096.54 and 512.80 is: 767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.44 : 1,096.54 = 512.80 : x
  2. Step 2: Convert to fraction form
    732.44/1,096.54 = 512.80/x
  3. Step 3: Cross multiply
    732.44x = 1,096.54 × 512.80
  4. Step 4: Simplify right side
    732.44x = 562,301.69
  5. Step 5: Solve for x
    x = 562,301.69/732.44
  6. Step 6: Final answer
    x = 767.71

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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.