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Finding the Fourth Proportional to 829.92, 1,245.48 and 465.42

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Solution

The fourth proportional to 829.92, 1,245.48 and 465.42 is: 698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.92 : 1,245.48 = 465.42 : x
  2. Step 2: Convert to fraction form
    829.92/1,245.48 = 465.42/x
  3. Step 3: Cross multiply
    829.92x = 1,245.48 × 465.42
  4. Step 4: Simplify right side
    829.92x = 579,671.30
  5. Step 5: Solve for x
    x = 579,671.30/829.92
  6. Step 6: Final answer
    x = 698.47

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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.