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Finding the Fourth Proportional to 723.10, 1,080.07 and 620.68

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Solution

The fourth proportional to 723.10, 1,080.07 and 620.68 is: 927.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.10 : 1,080.07 = 620.68 : x
  2. Step 2: Convert to fraction form
    723.10/1,080.07 = 620.68/x
  3. Step 3: Cross multiply
    723.10x = 1,080.07 × 620.68
  4. Step 4: Simplify right side
    723.10x = 670,377.85
  5. Step 5: Solve for x
    x = 670,377.85/723.10
  6. Step 6: Final answer
    x = 927.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.