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Finding the Fourth Proportional to 742.92, 1,022.76 and 644.28

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Solution

The fourth proportional to 742.92, 1,022.76 and 644.28 is: 886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.92 : 1,022.76 = 644.28 : x
  2. Step 2: Convert to fraction form
    742.92/1,022.76 = 644.28/x
  3. Step 3: Cross multiply
    742.92x = 1,022.76 × 644.28
  4. Step 4: Simplify right side
    742.92x = 658,943.81
  5. Step 5: Solve for x
    x = 658,943.81/742.92
  6. Step 6: Final answer
    x = 886.96

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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.