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Finding the Fourth Proportional to 1,770.10, 2,655.46 and 796.20

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Solution

The fourth proportional to 1,770.10, 2,655.46 and 796.20 is: 1,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.10 : 2,655.46 = 796.20 : x
  2. Step 2: Convert to fraction form
    1,770.10/2,655.46 = 796.20/x
  3. Step 3: Cross multiply
    1,770.10x = 2,655.46 × 796.20
  4. Step 4: Simplify right side
    1,770.10x = 2,114,277.25
  5. Step 5: Solve for x
    x = 2,114,277.25/1,770.10
  6. Step 6: Final answer
    x = 1,194.44

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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.