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Finding the Fourth Proportional to 792.81, 1,189.20 and 207.77

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Solution

The fourth proportional to 792.81, 1,189.20 and 207.77 is: 311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.81 : 1,189.20 = 207.77 : x
  2. Step 2: Convert to fraction form
    792.81/1,189.20 = 207.77/x
  3. Step 3: Cross multiply
    792.81x = 1,189.20 × 207.77
  4. Step 4: Simplify right side
    792.81x = 247,074.14
  5. Step 5: Solve for x
    x = 247,074.14/792.81
  6. Step 6: Final answer
    x = 311.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.