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Finding the Fourth Proportional to 847.20, 1,272.60 and 816.60

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Solution

The fourth proportional to 847.20, 1,272.60 and 816.60 is: 1,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.20 : 1,272.60 = 816.60 : x
  2. Step 2: Convert to fraction form
    847.20/1,272.60 = 816.60/x
  3. Step 3: Cross multiply
    847.20x = 1,272.60 × 816.60
  4. Step 4: Simplify right side
    847.20x = 1,039,205.16
  5. Step 5: Solve for x
    x = 1,039,205.16/847.20
  6. Step 6: Final answer
    x = 1,226.63

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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.