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Finding the Fourth Proportional to 759.64, 1,136.61 and 514.96

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Solution

The fourth proportional to 759.64, 1,136.61 and 514.96 is: 770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.64 : 1,136.61 = 514.96 : x
  2. Step 2: Convert to fraction form
    759.64/1,136.61 = 514.96/x
  3. Step 3: Cross multiply
    759.64x = 1,136.61 × 514.96
  4. Step 4: Simplify right side
    759.64x = 585,308.69
  5. Step 5: Solve for x
    x = 585,308.69/759.64
  6. Step 6: Final answer
    x = 770.51

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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.