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Finding the Fourth Proportional to 826.47, 1,238.36 and 500.85

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Solution

The fourth proportional to 826.47, 1,238.36 and 500.85 is: 750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.47 : 1,238.36 = 500.85 : x
  2. Step 2: Convert to fraction form
    826.47/1,238.36 = 500.85/x
  3. Step 3: Cross multiply
    826.47x = 1,238.36 × 500.85
  4. Step 4: Simplify right side
    826.47x = 620,230.10
  5. Step 5: Solve for x
    x = 620,230.10/826.47
  6. Step 6: Final answer
    x = 750.46

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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.