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Finding the Fourth Proportional to 791.68, 1,092.93 and 512.07

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Solution

The fourth proportional to 791.68, 1,092.93 and 512.07 is: 706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.68 : 1,092.93 = 512.07 : x
  2. Step 2: Convert to fraction form
    791.68/1,092.93 = 512.07/x
  3. Step 3: Cross multiply
    791.68x = 1,092.93 × 512.07
  4. Step 4: Simplify right side
    791.68x = 559,656.67
  5. Step 5: Solve for x
    x = 559,656.67/791.68
  6. Step 6: Final answer
    x = 706.92

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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.