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Finding the Fourth Proportional to 791.06, 1,090.24 and 700.52

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Solution

The fourth proportional to 791.06, 1,090.24 and 700.52 is: 965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.06 : 1,090.24 = 700.52 : x
  2. Step 2: Convert to fraction form
    791.06/1,090.24 = 700.52/x
  3. Step 3: Cross multiply
    791.06x = 1,090.24 × 700.52
  4. Step 4: Simplify right side
    791.06x = 763,734.92
  5. Step 5: Solve for x
    x = 763,734.92/791.06
  6. Step 6: Final answer
    x = 965.46

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Why These Related Problems?

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