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Finding the Fourth Proportional to 1,238.42, 1,857.64 and 662.42

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Solution

The fourth proportional to 1,238.42, 1,857.64 and 662.42 is: 993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.42 : 1,857.64 = 662.42 : x
  2. Step 2: Convert to fraction form
    1,238.42/1,857.64 = 662.42/x
  3. Step 3: Cross multiply
    1,238.42x = 1,857.64 × 662.42
  4. Step 4: Simplify right side
    1,238.42x = 1,230,537.89
  5. Step 5: Solve for x
    x = 1,230,537.89/1,238.42
  6. Step 6: Final answer
    x = 993.64

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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.