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Finding the Fourth Proportional to 790.05, 1,185.68 and 443.47

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Solution

The fourth proportional to 790.05, 1,185.68 and 443.47 is: 665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.05 : 1,185.68 = 443.47 : x
  2. Step 2: Convert to fraction form
    790.05/1,185.68 = 443.47/x
  3. Step 3: Cross multiply
    790.05x = 1,185.68 × 443.47
  4. Step 4: Simplify right side
    790.05x = 525,813.51
  5. Step 5: Solve for x
    x = 525,813.51/790.05
  6. Step 6: Final answer
    x = 665.54

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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.