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Finding the Fourth Proportional to 829.53, 1,241.82 and 503.91

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Solution

The fourth proportional to 829.53, 1,241.82 and 503.91 is: 754.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.53 : 1,241.82 = 503.91 : x
  2. Step 2: Convert to fraction form
    829.53/1,241.82 = 503.91/x
  3. Step 3: Cross multiply
    829.53x = 1,241.82 × 503.91
  4. Step 4: Simplify right side
    829.53x = 625,765.52
  5. Step 5: Solve for x
    x = 625,765.52/829.53
  6. Step 6: Final answer
    x = 754.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.