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Finding the Fourth Proportional to 796.68, 1,099.46 and 465.10

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Solution

The fourth proportional to 796.68, 1,099.46 and 465.10 is: 641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.68 : 1,099.46 = 465.10 : x
  2. Step 2: Convert to fraction form
    796.68/1,099.46 = 465.10/x
  3. Step 3: Cross multiply
    796.68x = 1,099.46 × 465.10
  4. Step 4: Simplify right side
    796.68x = 511,358.85
  5. Step 5: Solve for x
    x = 511,358.85/796.68
  6. Step 6: Final answer
    x = 641.86

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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.