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Finding the Fourth Proportional to 829.41, 1,241.48 and 463.09

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Solution

The fourth proportional to 829.41, 1,241.48 and 463.09 is: 693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.41 : 1,241.48 = 463.09 : x
  2. Step 2: Convert to fraction form
    829.41/1,241.48 = 463.09/x
  3. Step 3: Cross multiply
    829.41x = 1,241.48 × 463.09
  4. Step 4: Simplify right side
    829.41x = 574,915.03
  5. Step 5: Solve for x
    x = 574,915.03/829.41
  6. Step 6: Final answer
    x = 693.16

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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.