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Finding the Fourth Proportional to 797.11, 1,099.99 and 465.73

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Solution

The fourth proportional to 797.11, 1,099.99 and 465.73 is: 642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.11 : 1,099.99 = 465.73 : x
  2. Step 2: Convert to fraction form
    797.11/1,099.99 = 465.73/x
  3. Step 3: Cross multiply
    797.11x = 1,099.99 × 465.73
  4. Step 4: Simplify right side
    797.11x = 512,298.34
  5. Step 5: Solve for x
    x = 512,298.34/797.11
  6. Step 6: Final answer
    x = 642.69

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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.