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Finding the Fourth Proportional to 958.25, 1,436.71 and 488.56

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Solution

The fourth proportional to 958.25, 1,436.71 and 488.56 is: 732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.25 : 1,436.71 = 488.56 : x
  2. Step 2: Convert to fraction form
    958.25/1,436.71 = 488.56/x
  3. Step 3: Cross multiply
    958.25x = 1,436.71 × 488.56
  4. Step 4: Simplify right side
    958.25x = 701,919.04
  5. Step 5: Solve for x
    x = 701,919.04/958.25
  6. Step 6: Final answer
    x = 732.50

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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.