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Finding the Fourth Proportional to 829.56, 1,245 and 439.98

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Solution

The fourth proportional to 829.56, 1,245 and 439.98 is: 660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.56 : 1,245 = 439.98 : x
  2. Step 2: Convert to fraction form
    829.56/1,245 = 439.98/x
  3. Step 3: Cross multiply
    829.56x = 1,245 × 439.98
  4. Step 4: Simplify right side
    829.56x = 547,775.10
  5. Step 5: Solve for x
    x = 547,775.10/829.56
  6. Step 6: Final answer
    x = 660.32

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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.