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Finding the Fourth Proportional to 685.11, 1,026.93 and 338.04

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Solution

The fourth proportional to 685.11, 1,026.93 and 338.04 is: 506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.11 : 1,026.93 = 338.04 : x
  2. Step 2: Convert to fraction form
    685.11/1,026.93 = 338.04/x
  3. Step 3: Cross multiply
    685.11x = 1,026.93 × 338.04
  4. Step 4: Simplify right side
    685.11x = 347,143.42
  5. Step 5: Solve for x
    x = 347,143.42/685.11
  6. Step 6: Final answer
    x = 506.70

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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.