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Finding the Fourth Proportional to 825.43, 1,238.15 and 500.89

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Solution

The fourth proportional to 825.43, 1,238.15 and 500.89 is: 751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.43 : 1,238.15 = 500.89 : x
  2. Step 2: Convert to fraction form
    825.43/1,238.15 = 500.89/x
  3. Step 3: Cross multiply
    825.43x = 1,238.15 × 500.89
  4. Step 4: Simplify right side
    825.43x = 620,174.45
  5. Step 5: Solve for x
    x = 620,174.45/825.43
  6. Step 6: Final answer
    x = 751.34

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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.