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Finding the Fourth Proportional to 792.85, 1,189.32 and 245.12

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Solution

The fourth proportional to 792.85, 1,189.32 and 245.12 is: 367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.85 : 1,189.32 = 245.12 : x
  2. Step 2: Convert to fraction form
    792.85/1,189.32 = 245.12/x
  3. Step 3: Cross multiply
    792.85x = 1,189.32 × 245.12
  4. Step 4: Simplify right side
    792.85x = 291,526.12
  5. Step 5: Solve for x
    x = 291,526.12/792.85
  6. Step 6: Final answer
    x = 367.69

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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.