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Finding the Fourth Proportional to 791.60, 1,094.12 and 697.52

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Solution

The fourth proportional to 791.60, 1,094.12 and 697.52 is: 964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.60 : 1,094.12 = 697.52 : x
  2. Step 2: Convert to fraction form
    791.60/1,094.12 = 697.52/x
  3. Step 3: Cross multiply
    791.60x = 1,094.12 × 697.52
  4. Step 4: Simplify right side
    791.60x = 763,170.58
  5. Step 5: Solve for x
    x = 763,170.58/791.60
  6. Step 6: Final answer
    x = 964.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.