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Finding the Fourth Proportional to 958.75, 1,438.60 and 411.06

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Solution

The fourth proportional to 958.75, 1,438.60 and 411.06 is: 616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.75 : 1,438.60 = 411.06 : x
  2. Step 2: Convert to fraction form
    958.75/1,438.60 = 411.06/x
  3. Step 3: Cross multiply
    958.75x = 1,438.60 × 411.06
  4. Step 4: Simplify right side
    958.75x = 591,350.92
  5. Step 5: Solve for x
    x = 591,350.92/958.75
  6. Step 6: Final answer
    x = 616.79

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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.