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Finding the Fourth Proportional to 781.19, 1,171.97 and 416.33

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Solution

The fourth proportional to 781.19, 1,171.97 and 416.33 is: 624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.19 : 1,171.97 = 416.33 : x
  2. Step 2: Convert to fraction form
    781.19/1,171.97 = 416.33/x
  3. Step 3: Cross multiply
    781.19x = 1,171.97 × 416.33
  4. Step 4: Simplify right side
    781.19x = 487,924.19
  5. Step 5: Solve for x
    x = 487,924.19/781.19
  6. Step 6: Final answer
    x = 624.59

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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.