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Finding the Fourth Proportional to 792.14, 1,192.82 and 588.16

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Solution

The fourth proportional to 792.14, 1,192.82 and 588.16 is: 885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.14 : 1,192.82 = 588.16 : x
  2. Step 2: Convert to fraction form
    792.14/1,192.82 = 588.16/x
  3. Step 3: Cross multiply
    792.14x = 1,192.82 × 588.16
  4. Step 4: Simplify right side
    792.14x = 701,569.01
  5. Step 5: Solve for x
    x = 701,569.01/792.14
  6. Step 6: Final answer
    x = 885.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.