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Finding the Fourth Proportional to 742.62, 1,025.83 and 672.76

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Solution

The fourth proportional to 742.62, 1,025.83 and 672.76 is: 929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.62 : 1,025.83 = 672.76 : x
  2. Step 2: Convert to fraction form
    742.62/1,025.83 = 672.76/x
  3. Step 3: Cross multiply
    742.62x = 1,025.83 × 672.76
  4. Step 4: Simplify right side
    742.62x = 690,137.39
  5. Step 5: Solve for x
    x = 690,137.39/742.62
  6. Step 6: Final answer
    x = 929.33

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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.