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Finding the Fourth Proportional to 797.51, 1,195.17 and 385.82

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Solution

The fourth proportional to 797.51, 1,195.17 and 385.82 is: 578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.51 : 1,195.17 = 385.82 : x
  2. Step 2: Convert to fraction form
    797.51/1,195.17 = 385.82/x
  3. Step 3: Cross multiply
    797.51x = 1,195.17 × 385.82
  4. Step 4: Simplify right side
    797.51x = 461,120.49
  5. Step 5: Solve for x
    x = 461,120.49/797.51
  6. Step 6: Final answer
    x = 578.20

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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.