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Finding the Fourth Proportional to 958.57, 1,438.03 and 593.77

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Solution

The fourth proportional to 958.57, 1,438.03 and 593.77 is: 890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.57 : 1,438.03 = 593.77 : x
  2. Step 2: Convert to fraction form
    958.57/1,438.03 = 593.77/x
  3. Step 3: Cross multiply
    958.57x = 1,438.03 × 593.77
  4. Step 4: Simplify right side
    958.57x = 853,859.07
  5. Step 5: Solve for x
    x = 853,859.07/958.57
  6. Step 6: Final answer
    x = 890.76

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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.