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Finding the Fourth Proportional to 794.92, 1,097.06 and 480.34

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Solution

The fourth proportional to 794.92, 1,097.06 and 480.34 is: 662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.92 : 1,097.06 = 480.34 : x
  2. Step 2: Convert to fraction form
    794.92/1,097.06 = 480.34/x
  3. Step 3: Cross multiply
    794.92x = 1,097.06 × 480.34
  4. Step 4: Simplify right side
    794.92x = 526,961.80
  5. Step 5: Solve for x
    x = 526,961.80/794.92
  6. Step 6: Final answer
    x = 662.91

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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.