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Finding the Fourth Proportional to 792.93, 1,189.38 and 207.88

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Solution

The fourth proportional to 792.93, 1,189.38 and 207.88 is: 311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.93 : 1,189.38 = 207.88 : x
  2. Step 2: Convert to fraction form
    792.93/1,189.38 = 207.88/x
  3. Step 3: Cross multiply
    792.93x = 1,189.38 × 207.88
  4. Step 4: Simplify right side
    792.93x = 247,248.31
  5. Step 5: Solve for x
    x = 247,248.31/792.93
  6. Step 6: Final answer
    x = 311.82

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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.