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Finding the Fourth Proportional to 792.23, 1,186.82 and 444.50

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Solution

The fourth proportional to 792.23, 1,186.82 and 444.50 is: 665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.23 : 1,186.82 = 444.50 : x
  2. Step 2: Convert to fraction form
    792.23/1,186.82 = 444.50/x
  3. Step 3: Cross multiply
    792.23x = 1,186.82 × 444.50
  4. Step 4: Simplify right side
    792.23x = 527,548.63
  5. Step 5: Solve for x
    x = 527,548.63/792.23
  6. Step 6: Final answer
    x = 665.91

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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.