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Finding the Fourth Proportional to 794.96, 1,097.10 and 480.24

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Solution

The fourth proportional to 794.96, 1,097.10 and 480.24 is: 662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.96 : 1,097.10 = 480.24 : x
  2. Step 2: Convert to fraction form
    794.96/1,097.10 = 480.24/x
  3. Step 3: Cross multiply
    794.96x = 1,097.10 × 480.24
  4. Step 4: Simplify right side
    794.96x = 526,871.30
  5. Step 5: Solve for x
    x = 526,871.30/794.96
  6. Step 6: Final answer
    x = 662.76

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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.