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Finding the Fourth Proportional to 791.04, 1,186.45 and 380.07

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Solution

The fourth proportional to 791.04, 1,186.45 and 380.07 is: 570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.04 : 1,186.45 = 380.07 : x
  2. Step 2: Convert to fraction form
    791.04/1,186.45 = 380.07/x
  3. Step 3: Cross multiply
    791.04x = 1,186.45 × 380.07
  4. Step 4: Simplify right side
    791.04x = 450,929.76
  5. Step 5: Solve for x
    x = 450,929.76/791.04
  6. Step 6: Final answer
    x = 570.05

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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.