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Finding the Fourth Proportional to 683.23, 943.39 and 525.62

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Solution

The fourth proportional to 683.23, 943.39 and 525.62 is: 725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.23 : 943.39 = 525.62 : x
  2. Step 2: Convert to fraction form
    683.23/943.39 = 525.62/x
  3. Step 3: Cross multiply
    683.23x = 943.39 × 525.62
  4. Step 4: Simplify right side
    683.23x = 495,864.65
  5. Step 5: Solve for x
    x = 495,864.65/683.23
  6. Step 6: Final answer
    x = 725.77

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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.