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Finding the Fourth Proportional to 1,193.96, 1,790.75 and 328.07

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Solution

The fourth proportional to 1,193.96, 1,790.75 and 328.07 is: 492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.96 : 1,790.75 = 328.07 : x
  2. Step 2: Convert to fraction form
    1,193.96/1,790.75 = 328.07/x
  3. Step 3: Cross multiply
    1,193.96x = 1,790.75 × 328.07
  4. Step 4: Simplify right side
    1,193.96x = 587,496.65
  5. Step 5: Solve for x
    x = 587,496.65/1,193.96
  6. Step 6: Final answer
    x = 492.06

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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.