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Finding the Fourth Proportional to 1,238.70, 1,857.94 and 458.67

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Solution

The fourth proportional to 1,238.70, 1,857.94 and 458.67 is: 687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.70 : 1,857.94 = 458.67 : x
  2. Step 2: Convert to fraction form
    1,238.70/1,857.94 = 458.67/x
  3. Step 3: Cross multiply
    1,238.70x = 1,857.94 × 458.67
  4. Step 4: Simplify right side
    1,238.70x = 852,181.34
  5. Step 5: Solve for x
    x = 852,181.34/1,238.70
  6. Step 6: Final answer
    x = 687.96

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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.