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Finding the Fourth Proportional to 791.68, 1,092.29 and 511.93

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Solution

The fourth proportional to 791.68, 1,092.29 and 511.93 is: 706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.68 : 1,092.29 = 511.93 : x
  2. Step 2: Convert to fraction form
    791.68/1,092.29 = 511.93/x
  3. Step 3: Cross multiply
    791.68x = 1,092.29 × 511.93
  4. Step 4: Simplify right side
    791.68x = 559,176.02
  5. Step 5: Solve for x
    x = 559,176.02/791.68
  6. Step 6: Final answer
    x = 706.32

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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.