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Finding the Fourth Proportional to 825.93, 1,238.90 and 501.39

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Solution

The fourth proportional to 825.93, 1,238.90 and 501.39 is: 752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.93 : 1,238.90 = 501.39 : x
  2. Step 2: Convert to fraction form
    825.93/1,238.90 = 501.39/x
  3. Step 3: Cross multiply
    825.93x = 1,238.90 × 501.39
  4. Step 4: Simplify right side
    825.93x = 621,169.56
  5. Step 5: Solve for x
    x = 621,169.56/825.93
  6. Step 6: Final answer
    x = 752.09

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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.