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Finding the Fourth Proportional to 701.75, 1,052.84 and 408.72

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Solution

The fourth proportional to 701.75, 1,052.84 and 408.72 is: 613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.75 : 1,052.84 = 408.72 : x
  2. Step 2: Convert to fraction form
    701.75/1,052.84 = 408.72/x
  3. Step 3: Cross multiply
    701.75x = 1,052.84 × 408.72
  4. Step 4: Simplify right side
    701.75x = 430,311.74
  5. Step 5: Solve for x
    x = 430,311.74/701.75
  6. Step 6: Final answer
    x = 613.20

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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.