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Finding the Fourth Proportional to 797, 1,099.80 and 465.44

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Solution

The fourth proportional to 797, 1,099.80 and 465.44 is: 642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    797 : 1,099.80 = 465.44 : x
  2. Step 2: Convert to fraction form
    797/1,099.80 = 465.44/x
  3. Step 3: Cross multiply
    797x = 1,099.80 × 465.44
  4. Step 4: Simplify right side
    797x = 511,890.91
  5. Step 5: Solve for x
    x = 511,890.91/797
  6. Step 6: Final answer
    x = 642.27

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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.