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Finding the Fourth Proportional to 733.81, 1,010.65 and 680.96

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Solution

The fourth proportional to 733.81, 1,010.65 and 680.96 is: 937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.81 : 1,010.65 = 680.96 : x
  2. Step 2: Convert to fraction form
    733.81/1,010.65 = 680.96/x
  3. Step 3: Cross multiply
    733.81x = 1,010.65 × 680.96
  4. Step 4: Simplify right side
    733.81x = 688,210.56
  5. Step 5: Solve for x
    x = 688,210.56/733.81
  6. Step 6: Final answer
    x = 937.86

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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.