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Finding the Fourth Proportional to 794.64, 1,096.11 and 496.04

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Solution

The fourth proportional to 794.64, 1,096.11 and 496.04 is: 684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.64 : 1,096.11 = 496.04 : x
  2. Step 2: Convert to fraction form
    794.64/1,096.11 = 496.04/x
  3. Step 3: Cross multiply
    794.64x = 1,096.11 × 496.04
  4. Step 4: Simplify right side
    794.64x = 543,714.40
  5. Step 5: Solve for x
    x = 543,714.40/794.64
  6. Step 6: Final answer
    x = 684.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.