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Finding the Fourth Proportional to 701.08, 1,051.74 and 423.70

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Solution

The fourth proportional to 701.08, 1,051.74 and 423.70 is: 635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.08 : 1,051.74 = 423.70 : x
  2. Step 2: Convert to fraction form
    701.08/1,051.74 = 423.70/x
  3. Step 3: Cross multiply
    701.08x = 1,051.74 × 423.70
  4. Step 4: Simplify right side
    701.08x = 445,622.24
  5. Step 5: Solve for x
    x = 445,622.24/701.08
  6. Step 6: Final answer
    x = 635.62

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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.