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Finding the Fourth Proportional to 829.84, 1,245.02 and 397

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Solution

The fourth proportional to 829.84, 1,245.02 and 397 is: 595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.84 : 1,245.02 = 397 : x
  2. Step 2: Convert to fraction form
    829.84/1,245.02 = 397/x
  3. Step 3: Cross multiply
    829.84x = 1,245.02 × 397
  4. Step 4: Simplify right side
    829.84x = 494,272.94
  5. Step 5: Solve for x
    x = 494,272.94/829.84
  6. Step 6: Final answer
    x = 595.62

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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.