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Finding the Fourth Proportional to 829.34, 1,242.96 and 463.60

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Solution

The fourth proportional to 829.34, 1,242.96 and 463.60 is: 694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.34 : 1,242.96 = 463.60 : x
  2. Step 2: Convert to fraction form
    829.34/1,242.96 = 463.60/x
  3. Step 3: Cross multiply
    829.34x = 1,242.96 × 463.60
  4. Step 4: Simplify right side
    829.34x = 576,236.26
  5. Step 5: Solve for x
    x = 576,236.26/829.34
  6. Step 6: Final answer
    x = 694.81

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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.