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Finding the Fourth Proportional to 927.66, 1,279.35 and 665.22

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Solution

The fourth proportional to 927.66, 1,279.35 and 665.22 is: 917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.66 : 1,279.35 = 665.22 : x
  2. Step 2: Convert to fraction form
    927.66/1,279.35 = 665.22/x
  3. Step 3: Cross multiply
    927.66x = 1,279.35 × 665.22
  4. Step 4: Simplify right side
    927.66x = 851,049.21
  5. Step 5: Solve for x
    x = 851,049.21/927.66
  6. Step 6: Final answer
    x = 917.42

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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.