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Finding the Fourth Proportional to 759.57, 1,138.21 and 515.25

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Solution

The fourth proportional to 759.57, 1,138.21 and 515.25 is: 772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.57 : 1,138.21 = 515.25 : x
  2. Step 2: Convert to fraction form
    759.57/1,138.21 = 515.25/x
  3. Step 3: Cross multiply
    759.57x = 1,138.21 × 515.25
  4. Step 4: Simplify right side
    759.57x = 586,462.70
  5. Step 5: Solve for x
    x = 586,462.70/759.57
  6. Step 6: Final answer
    x = 772.10

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Why These Related Problems?

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