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Finding the Fourth Proportional to 1,173.50, 1,760.22 and 351.80

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Solution

The fourth proportional to 1,173.50, 1,760.22 and 351.80 is: 527.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.50 : 1,760.22 = 351.80 : x
  2. Step 2: Convert to fraction form
    1,173.50/1,760.22 = 351.80/x
  3. Step 3: Cross multiply
    1,173.50x = 1,760.22 × 351.80
  4. Step 4: Simplify right side
    1,173.50x = 619,245.40
  5. Step 5: Solve for x
    x = 619,245.40/1,173.50
  6. Step 6: Final answer
    x = 527.69

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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.