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Finding the Fourth Proportional to 790.89, 1,185.48 and 328.65

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Solution

The fourth proportional to 790.89, 1,185.48 and 328.65 is: 492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.89 : 1,185.48 = 328.65 : x
  2. Step 2: Convert to fraction form
    790.89/1,185.48 = 328.65/x
  3. Step 3: Cross multiply
    790.89x = 1,185.48 × 328.65
  4. Step 4: Simplify right side
    790.89x = 389,608.00
  5. Step 5: Solve for x
    x = 389,608.00/790.89
  6. Step 6: Final answer
    x = 492.62

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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.