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Finding the Fourth Proportional to 805.28, 1,112.33 and 665.96

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Solution

The fourth proportional to 805.28, 1,112.33 and 665.96 is: 919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.28 : 1,112.33 = 665.96 : x
  2. Step 2: Convert to fraction form
    805.28/1,112.33 = 665.96/x
  3. Step 3: Cross multiply
    805.28x = 1,112.33 × 665.96
  4. Step 4: Simplify right side
    805.28x = 740,765.06
  5. Step 5: Solve for x
    x = 740,765.06/805.28
  6. Step 6: Final answer
    x = 919.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.