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Finding the Fourth Proportional to 807.67, 1,205.26 and 720.30

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Solution

The fourth proportional to 807.67, 1,205.26 and 720.30 is: 1,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.67 : 1,205.26 = 720.30 : x
  2. Step 2: Convert to fraction form
    807.67/1,205.26 = 720.30/x
  3. Step 3: Cross multiply
    807.67x = 1,205.26 × 720.30
  4. Step 4: Simplify right side
    807.67x = 868,146.98
  5. Step 5: Solve for x
    x = 868,146.98/807.67
  6. Step 6: Final answer
    x = 1,074.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.