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Finding the Fourth Proportional to 1,731.75, 2,597.63 and 757.85

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Solution

The fourth proportional to 1,731.75, 2,597.63 and 757.85 is: 1,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.75 : 2,597.63 = 757.85 : x
  2. Step 2: Convert to fraction form
    1,731.75/2,597.63 = 757.85/x
  3. Step 3: Cross multiply
    1,731.75x = 2,597.63 × 757.85
  4. Step 4: Simplify right side
    1,731.75x = 1,968,616.60
  5. Step 5: Solve for x
    x = 1,968,616.60/1,731.75
  6. Step 6: Final answer
    x = 1,136.78

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1.5x scale

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.