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Finding the Fourth Proportional to 792.92, 1,189.53 and 245.15

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Solution

The fourth proportional to 792.92, 1,189.53 and 245.15 is: 367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.92 : 1,189.53 = 245.15 : x
  2. Step 2: Convert to fraction form
    792.92/1,189.53 = 245.15/x
  3. Step 3: Cross multiply
    792.92x = 1,189.53 × 245.15
  4. Step 4: Simplify right side
    792.92x = 291,613.28
  5. Step 5: Solve for x
    x = 291,613.28/792.92
  6. Step 6: Final answer
    x = 367.77

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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.