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Finding the Fourth Proportional to 792.36, 1,186.22 and 462.29

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Solution

The fourth proportional to 792.36, 1,186.22 and 462.29 is: 692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.36 : 1,186.22 = 462.29 : x
  2. Step 2: Convert to fraction form
    792.36/1,186.22 = 462.29/x
  3. Step 3: Cross multiply
    792.36x = 1,186.22 × 462.29
  4. Step 4: Simplify right side
    792.36x = 548,377.64
  5. Step 5: Solve for x
    x = 548,377.64/792.36
  6. Step 6: Final answer
    x = 692.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.