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Finding the Fourth Proportional to 1,328.36, 1,992.87 and 462.65

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Solution

The fourth proportional to 1,328.36, 1,992.87 and 462.65 is: 694.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.36 : 1,992.87 = 462.65 : x
  2. Step 2: Convert to fraction form
    1,328.36/1,992.87 = 462.65/x
  3. Step 3: Cross multiply
    1,328.36x = 1,992.87 × 462.65
  4. Step 4: Simplify right side
    1,328.36x = 921,991.34
  5. Step 5: Solve for x
    x = 921,991.34/1,328.36
  6. Step 6: Final answer
    x = 694.09

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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.