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Finding the Fourth Proportional to 790.80, 1,186.17 and 270.63

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Solution

The fourth proportional to 790.80, 1,186.17 and 270.63 is: 405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.80 : 1,186.17 = 270.63 : x
  2. Step 2: Convert to fraction form
    790.80/1,186.17 = 270.63/x
  3. Step 3: Cross multiply
    790.80x = 1,186.17 × 270.63
  4. Step 4: Simplify right side
    790.80x = 321,013.19
  5. Step 5: Solve for x
    x = 321,013.19/790.80
  6. Step 6: Final answer
    x = 405.93

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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.