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Finding the Fourth Proportional to 958.26, 1,440.12 and 471.65

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Solution

The fourth proportional to 958.26, 1,440.12 and 471.65 is: 708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.26 : 1,440.12 = 471.65 : x
  2. Step 2: Convert to fraction form
    958.26/1,440.12 = 471.65/x
  3. Step 3: Cross multiply
    958.26x = 1,440.12 × 471.65
  4. Step 4: Simplify right side
    958.26x = 679,237.97
  5. Step 5: Solve for x
    x = 679,237.97/958.26
  6. Step 6: Final answer
    x = 708.82

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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.