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Finding the Fourth Proportional to 958.75, 1,438.13 and 274.75

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Solution

The fourth proportional to 958.75, 1,438.13 and 274.75 is: 412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.75 : 1,438.13 = 274.75 : x
  2. Step 2: Convert to fraction form
    958.75/1,438.13 = 274.75/x
  3. Step 3: Cross multiply
    958.75x = 1,438.13 × 274.75
  4. Step 4: Simplify right side
    958.75x = 395,126.22
  5. Step 5: Solve for x
    x = 395,126.22/958.75
  6. Step 6: Final answer
    x = 412.13

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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.