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Finding the Fourth Proportional to 732.72, 1,012.43 and 576.59

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Solution

The fourth proportional to 732.72, 1,012.43 and 576.59 is: 796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.72 : 1,012.43 = 576.59 : x
  2. Step 2: Convert to fraction form
    732.72/1,012.43 = 576.59/x
  3. Step 3: Cross multiply
    732.72x = 1,012.43 × 576.59
  4. Step 4: Simplify right side
    732.72x = 583,757.01
  5. Step 5: Solve for x
    x = 583,757.01/732.72
  6. Step 6: Final answer
    x = 796.70

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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.