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Finding the Fourth Proportional to 927.81, 1,282.05 and 665.37

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Solution

The fourth proportional to 927.81, 1,282.05 and 665.37 is: 919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.81 : 1,282.05 = 665.37 : x
  2. Step 2: Convert to fraction form
    927.81/1,282.05 = 665.37/x
  3. Step 3: Cross multiply
    927.81x = 1,282.05 × 665.37
  4. Step 4: Simplify right side
    927.81x = 853,037.61
  5. Step 5: Solve for x
    x = 853,037.61/927.81
  6. Step 6: Final answer
    x = 919.41

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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.