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Finding the Fourth Proportional to 792.49, 1,188.72 and 244.66

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Solution

The fourth proportional to 792.49, 1,188.72 and 244.66 is: 366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.49 : 1,188.72 = 244.66 : x
  2. Step 2: Convert to fraction form
    792.49/1,188.72 = 244.66/x
  3. Step 3: Cross multiply
    792.49x = 1,188.72 × 244.66
  4. Step 4: Simplify right side
    792.49x = 290,832.24
  5. Step 5: Solve for x
    x = 290,832.24/792.49
  6. Step 6: Final answer
    x = 366.99

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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.