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Finding the Fourth Proportional to 790.65, 1,183.68 and 515.97

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Solution

The fourth proportional to 790.65, 1,183.68 and 515.97 is: 772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.65 : 1,183.68 = 515.97 : x
  2. Step 2: Convert to fraction form
    790.65/1,183.68 = 515.97/x
  3. Step 3: Cross multiply
    790.65x = 1,183.68 × 515.97
  4. Step 4: Simplify right side
    790.65x = 610,743.37
  5. Step 5: Solve for x
    x = 610,743.37/790.65
  6. Step 6: Final answer
    x = 772.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.