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Finding the Fourth Proportional to 796.96, 1,100.01 and 465.67

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Solution

The fourth proportional to 796.96, 1,100.01 and 465.67 is: 642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.96 : 1,100.01 = 465.67 : x
  2. Step 2: Convert to fraction form
    796.96/1,100.01 = 465.67/x
  3. Step 3: Cross multiply
    796.96x = 1,100.01 × 465.67
  4. Step 4: Simplify right side
    796.96x = 512,241.66
  5. Step 5: Solve for x
    x = 512,241.66/796.96
  6. Step 6: Final answer
    x = 642.74

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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.