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Finding the Fourth Proportional to 792.19, 1,185.84 and 517.69

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Solution

The fourth proportional to 792.19, 1,185.84 and 517.69 is: 774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.19 : 1,185.84 = 517.69 : x
  2. Step 2: Convert to fraction form
    792.19/1,185.84 = 517.69/x
  3. Step 3: Cross multiply
    792.19x = 1,185.84 × 517.69
  4. Step 4: Simplify right side
    792.19x = 613,897.51
  5. Step 5: Solve for x
    x = 613,897.51/792.19
  6. Step 6: Final answer
    x = 774.94

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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.