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Finding the Fourth Proportional to 794.69, 1,096.46 and 479.88

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Solution

The fourth proportional to 794.69, 1,096.46 and 479.88 is: 662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.69 : 1,096.46 = 479.88 : x
  2. Step 2: Convert to fraction form
    794.69/1,096.46 = 479.88/x
  3. Step 3: Cross multiply
    794.69x = 1,096.46 × 479.88
  4. Step 4: Simplify right side
    794.69x = 526,169.22
  5. Step 5: Solve for x
    x = 526,169.22/794.69
  6. Step 6: Final answer
    x = 662.11

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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.