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Finding the Fourth Proportional to 701.40, 1,052.10 and 376.68

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Solution

The fourth proportional to 701.40, 1,052.10 and 376.68 is: 565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.40 : 1,052.10 = 376.68 : x
  2. Step 2: Convert to fraction form
    701.40/1,052.10 = 376.68/x
  3. Step 3: Cross multiply
    701.40x = 1,052.10 × 376.68
  4. Step 4: Simplify right side
    701.40x = 396,305.03
  5. Step 5: Solve for x
    x = 396,305.03/701.40
  6. Step 6: Final answer
    x = 565.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.