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Finding the Fourth Proportional to 701.93, 1,052.90 and 285.44

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Solution

The fourth proportional to 701.93, 1,052.90 and 285.44 is: 428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.93 : 1,052.90 = 285.44 : x
  2. Step 2: Convert to fraction form
    701.93/1,052.90 = 285.44/x
  3. Step 3: Cross multiply
    701.93x = 1,052.90 × 285.44
  4. Step 4: Simplify right side
    701.93x = 300,540.08
  5. Step 5: Solve for x
    x = 300,540.08/701.93
  6. Step 6: Final answer
    x = 428.16

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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.