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Finding the Fourth Proportional to 927.02, 1,278.90 and 665.39

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Solution

The fourth proportional to 927.02, 1,278.90 and 665.39 is: 917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.02 : 1,278.90 = 665.39 : x
  2. Step 2: Convert to fraction form
    927.02/1,278.90 = 665.39/x
  3. Step 3: Cross multiply
    927.02x = 1,278.90 × 665.39
  4. Step 4: Simplify right side
    927.02x = 850,967.27
  5. Step 5: Solve for x
    x = 850,967.27/927.02
  6. Step 6: Final answer
    x = 917.96

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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.