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Finding the Fourth Proportional to 694.86, 1,041.56 and 329.38

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Solution

The fourth proportional to 694.86, 1,041.56 and 329.38 is: 493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.86 : 1,041.56 = 329.38 : x
  2. Step 2: Convert to fraction form
    694.86/1,041.56 = 329.38/x
  3. Step 3: Cross multiply
    694.86x = 1,041.56 × 329.38
  4. Step 4: Simplify right side
    694.86x = 343,069.03
  5. Step 5: Solve for x
    x = 343,069.03/694.86
  6. Step 6: Final answer
    x = 493.72

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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.