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Finding the Fourth Proportional to 794, 1,096.16 and 528.64

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Solution

The fourth proportional to 794, 1,096.16 and 528.64 is: 729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    794 : 1,096.16 = 528.64 : x
  2. Step 2: Convert to fraction form
    794/1,096.16 = 528.64/x
  3. Step 3: Cross multiply
    794x = 1,096.16 × 528.64
  4. Step 4: Simplify right side
    794x = 579,474.02
  5. Step 5: Solve for x
    x = 579,474.02/794
  6. Step 6: Final answer
    x = 729.82

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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.