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Finding the Fourth Proportional to 825.99, 1,239.23 and 517.40

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Solution

The fourth proportional to 825.99, 1,239.23 and 517.40 is: 776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.99 : 1,239.23 = 517.40 : x
  2. Step 2: Convert to fraction form
    825.99/1,239.23 = 517.40/x
  3. Step 3: Cross multiply
    825.99x = 1,239.23 × 517.40
  4. Step 4: Simplify right side
    825.99x = 641,177.60
  5. Step 5: Solve for x
    x = 641,177.60/825.99
  6. Step 6: Final answer
    x = 776.25

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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.