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Finding the Fourth Proportional to 701.08, 1,052.02 and 376.44

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Solution

The fourth proportional to 701.08, 1,052.02 and 376.44 is: 564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.08 : 1,052.02 = 376.44 : x
  2. Step 2: Convert to fraction form
    701.08/1,052.02 = 376.44/x
  3. Step 3: Cross multiply
    701.08x = 1,052.02 × 376.44
  4. Step 4: Simplify right side
    701.08x = 396,022.41
  5. Step 5: Solve for x
    x = 396,022.41/701.08
  6. Step 6: Final answer
    x = 564.87

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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.