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Finding the Fourth Proportional to 792.01, 1,187.97 and 244.17

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Solution

The fourth proportional to 792.01, 1,187.97 and 244.17 is: 366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.01 : 1,187.97 = 244.17 : x
  2. Step 2: Convert to fraction form
    792.01/1,187.97 = 244.17/x
  3. Step 3: Cross multiply
    792.01x = 1,187.97 × 244.17
  4. Step 4: Simplify right side
    792.01x = 290,066.63
  5. Step 5: Solve for x
    x = 290,066.63/792.01
  6. Step 6: Final answer
    x = 366.24

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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.