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Finding the Fourth Proportional to 958.69, 1,436.34 and 683.36

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Solution

The fourth proportional to 958.69, 1,436.34 and 683.36 is: 1,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.69 : 1,436.34 = 683.36 : x
  2. Step 2: Convert to fraction form
    958.69/1,436.34 = 683.36/x
  3. Step 3: Cross multiply
    958.69x = 1,436.34 × 683.36
  4. Step 4: Simplify right side
    958.69x = 981,530.12
  5. Step 5: Solve for x
    x = 981,530.12/958.69
  6. Step 6: Final answer
    x = 1,023.83

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Why These Related Problems?

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