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Finding the Fourth Proportional to 667.74, 919.56 and 665.71

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Solution

The fourth proportional to 667.74, 919.56 and 665.71 is: 916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.74 : 919.56 = 665.71 : x
  2. Step 2: Convert to fraction form
    667.74/919.56 = 665.71/x
  3. Step 3: Cross multiply
    667.74x = 919.56 × 665.71
  4. Step 4: Simplify right side
    667.74x = 612,160.29
  5. Step 5: Solve for x
    x = 612,160.29/667.74
  6. Step 6: Final answer
    x = 916.76

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