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Finding the Fourth Proportional to 791.40, 1,092.84 and 512.10

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Solution

The fourth proportional to 791.40, 1,092.84 and 512.10 is: 707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.40 : 1,092.84 = 512.10 : x
  2. Step 2: Convert to fraction form
    791.40/1,092.84 = 512.10/x
  3. Step 3: Cross multiply
    791.40x = 1,092.84 × 512.10
  4. Step 4: Simplify right side
    791.40x = 559,643.36
  5. Step 5: Solve for x
    x = 559,643.36/791.40
  6. Step 6: Final answer
    x = 707.16

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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.