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Finding the Fourth Proportional to 824.67, 1,235.63 and 499.37

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Solution

The fourth proportional to 824.67, 1,235.63 and 499.37 is: 748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.67 : 1,235.63 = 499.37 : x
  2. Step 2: Convert to fraction form
    824.67/1,235.63 = 499.37/x
  3. Step 3: Cross multiply
    824.67x = 1,235.63 × 499.37
  4. Step 4: Simplify right side
    824.67x = 617,027.88
  5. Step 5: Solve for x
    x = 617,027.88/824.67
  6. Step 6: Final answer
    x = 748.21

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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.