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Finding the Fourth Proportional to 825.93, 1,238.85 and 501.21

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Solution

The fourth proportional to 825.93, 1,238.85 and 501.21 is: 751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.93 : 1,238.85 = 501.21 : x
  2. Step 2: Convert to fraction form
    825.93/1,238.85 = 501.21/x
  3. Step 3: Cross multiply
    825.93x = 1,238.85 × 501.21
  4. Step 4: Simplify right side
    825.93x = 620,924.01
  5. Step 5: Solve for x
    x = 620,924.01/825.93
  6. Step 6: Final answer
    x = 751.79

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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.