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Finding the Fourth Proportional to 746.75, 1,118.81 and 515.16

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Solution

The fourth proportional to 746.75, 1,118.81 and 515.16 is: 771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.75 : 1,118.81 = 515.16 : x
  2. Step 2: Convert to fraction form
    746.75/1,118.81 = 515.16/x
  3. Step 3: Cross multiply
    746.75x = 1,118.81 × 515.16
  4. Step 4: Simplify right side
    746.75x = 576,367.45
  5. Step 5: Solve for x
    x = 576,367.45/746.75
  6. Step 6: Final answer
    x = 771.83

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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.