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Finding the Fourth Proportional to 732.83, 1,012.46 and 674.51

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Solution

The fourth proportional to 732.83, 1,012.46 and 674.51 is: 931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.83 : 1,012.46 = 674.51 : x
  2. Step 2: Convert to fraction form
    732.83/1,012.46 = 674.51/x
  3. Step 3: Cross multiply
    732.83x = 1,012.46 × 674.51
  4. Step 4: Simplify right side
    732.83x = 682,905.96
  5. Step 5: Solve for x
    x = 682,905.96/732.83
  6. Step 6: Final answer
    x = 931.88

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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.