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Finding the Fourth Proportional to 782.50, 1,174.37 and 344.06

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Solution

The fourth proportional to 782.50, 1,174.37 and 344.06 is: 516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.50 : 1,174.37 = 344.06 : x
  2. Step 2: Convert to fraction form
    782.50/1,174.37 = 344.06/x
  3. Step 3: Cross multiply
    782.50x = 1,174.37 × 344.06
  4. Step 4: Simplify right side
    782.50x = 404,050.90
  5. Step 5: Solve for x
    x = 404,050.90/782.50
  6. Step 6: Final answer
    x = 516.36

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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.