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Finding the Fourth Proportional to 829.92, 1,145.20 and 493.71

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Solution

The fourth proportional to 829.92, 1,145.20 and 493.71 is: 681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.92 : 1,145.20 = 493.71 : x
  2. Step 2: Convert to fraction form
    829.92/1,145.20 = 493.71/x
  3. Step 3: Cross multiply
    829.92x = 1,145.20 × 493.71
  4. Step 4: Simplify right side
    829.92x = 565,396.69
  5. Step 5: Solve for x
    x = 565,396.69/829.92
  6. Step 6: Final answer
    x = 681.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.