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Finding the Fourth Proportional to 756.77, 1,136.46 and 450.55

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Solution

The fourth proportional to 756.77, 1,136.46 and 450.55 is: 676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.77 : 1,136.46 = 450.55 : x
  2. Step 2: Convert to fraction form
    756.77/1,136.46 = 450.55/x
  3. Step 3: Cross multiply
    756.77x = 1,136.46 × 450.55
  4. Step 4: Simplify right side
    756.77x = 512,024.97
  5. Step 5: Solve for x
    x = 512,024.97/756.77
  6. Step 6: Final answer
    x = 676.59

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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.