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Finding the Fourth Proportional to 830.56, 1,245.84 and 757.84

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Solution

The fourth proportional to 830.56, 1,245.84 and 757.84 is: 1,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.56 : 1,245.84 = 757.84 : x
  2. Step 2: Convert to fraction form
    830.56/1,245.84 = 757.84/x
  3. Step 3: Cross multiply
    830.56x = 1,245.84 × 757.84
  4. Step 4: Simplify right side
    830.56x = 944,147.39
  5. Step 5: Solve for x
    x = 944,147.39/830.56
  6. Step 6: Final answer
    x = 1,136.76

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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.